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schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
dw:1343661876978:dw
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.3
Ah! This is one best though of visually, let me make you a graph:
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
If you find the function continuous, then you may just plug 3 for \(x\) by the way.
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
Let's see how the graph is..
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
Ok. If I plug in 3, I get 3 sqrt(0)
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
Don't do that now.
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.3
What you need are numbers slightly less than 3, like 2.9999999999999
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
Looks like we can plug in values less than \(3\).
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
Because it is a left handed limit, we may plug numbers like agentx5 said :)
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.3
That  sign above the limit means "numbers from the left hand side limit" or the number slightly less than 3 (but as close as you can get)
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
ok! can you show how I would solve it
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
Ok i understand that
 2 years ago

telliott99 Group TitleBest ResponseYou've already chosen the best response.0
About your graph, notice what happens to the function for x > 3
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
So how would I solve the limit?
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
By plugging numbers slightly less than 3.
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.3
@telliott99 , I know... look at the notation for imaginary and real...
 2 years ago

telliott99 Group TitleBest ResponseYou've already chosen the best response.0
Just saying the graph is not correct. It doesn't have a hole in it. And do what @ParthKohli says
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
2.99(92.99^2)
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
\[ \begin{array}{lr} x & f(x) \\ \hline 2.5 & \\ 2.9 \\ 2.999 \\ 2.99999\end{array} \] Fill the f(x)'s.
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
for 2.5, f(x) would be 4.145
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
Find them for all.
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.3
And and as you get closer and closer to 2.999999999999? Every closer to 3 from the "just under" side and you'll approach some limit.
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
Ok can you help find the limit now? Like I understand how to find that, i just dont haeve time to find them all
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
Calculator, Schmidt.
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
so agentx5, I should just use 2.999999 to find the limit?
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.3
Or if you prefer, 2.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999... Get the point? :P
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
I got 7.3484
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
Just not 3.
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
Looks like its getting closer to 7.5, but let's see it for more values.
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
Ok! I think its going to be 7.5
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
Are you sure? Try for 2.9999999 and 2.999999999999999. So on.
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
I just tried for that
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
can someone tell me if im right
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
I am too lazy to do so :/
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
come onnn lol
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
plz! i really need your help..
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
All right :) let me check it out on Wolfram.
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
@agentx5 Where is the graph?
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.3
Here's the algebra trick, you need to find what y would be when x=3. You can't do this normally but... \(x\sqrt{(3+x)(3x)}\) , For what solutions does y = 0? Well, 0, +3 and 3. So... ;) Replacing with a better graph (more accurate, real #'s only): dw:1343662913297:dw
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
ok thx @agentx5 so what would the limit be for this probb?
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
I was actually surprised how I was plugging values and getting it approaching something else. Hence, I asked.
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
The limit was getting smaller and smaller. ;)
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
You may find from the graph, actually.dw:1343663313029:dw
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.1
What is \(y\) approaching in the graph? ^
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.3
With the limit shown... dw:1343663226621:dw
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
like 2 or 3 right?
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.3
I actually had my imaginary lines going the wrong way @telliott99 and the circles were too high in the original sketch (they're on the xaxis), I stand corrected. Although I'm not sure that's what you meant. ;)
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
Guys do you know the actual limit?
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.3
And I'm trying to help you learn visually what's going on so you're not lost here
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
Yeah I do see it visually,
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
is the limit around 2 or 3
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
wait it looks around 0
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.3
\[\lim_{x \rightarrow 3^}\] What is the output of the function approaching? The input gets closer to 3 from the "slightly less" side.
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
as 3 approaches 3 from the left, the y value is 0, right?
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
sorry i meant, as x approaches 3
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.3
Or using the analytical method, as you plug in larger and larger 2.9999999999999999...'s you get smaller and smaller numbers. Infinitesimally small. To the point gets damned close to zero. Thus the limit is zero, correct.
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
ok so the limit for this function is 0? :D
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.3
The reason you can't just substitute 3 in place of x, officially is because you might have one like this: \[\lim_{x \rightarrow 1} = \frac{1}{1x}\] Look what happens if you plug in 1?
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
But, limit is 0 right? and yes the ddenominator bneomes 0.. not possible
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.3
In this case your left and your right hand limits are going in opposite directions, and the limit doesn't exist. dw:1343663845294:dw And yes, twice to the above post. :)
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
wait so the limit is DNE? or zero!?!
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.3
For your original problem, Zero. For the one I just asked you, trying to get you to learn, Does Not Exist.
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.3
You will see DNE problems, I can guarantee you.
 2 years ago

schmidtdancer Group TitleBest ResponseYou've already chosen the best response.0
Oh yeah, I know!:)
 2 years ago
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