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Use the information to evaluate the limits. I have a drawing attached.
 one year ago
 one year ago
Use the information to evaluate the limits. I have a drawing attached.
 one year ago
 one year ago

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schmidtdancerBest ResponseYou've already chosen the best response.1
dw:1342983331687:dw
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
@apoorvk Let me draw out the options from which I have to answer.
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
dw:1342983428659:dw
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
we can do one at a time .there are 4. but heres A^
 one year ago

apoorvkBest ResponseYou've already chosen the best response.2
That's: lim [4 f(x)] > right? x >c and [.] represents greatest integer function (GIF)  right?
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
Yes, and I think?
 one year ago

apoorvkBest ResponseYou've already chosen the best response.2
Ohkay... so.. that basically means I guess: dw:1342983884987:dw You have the value of that limit inside provided, you need to plug it in and proceed  understandable?
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
so would it be lim f(4)?
 one year ago

apoorvkBest ResponseYou've already chosen the best response.2
umm no, actually, that's 4 times the limits  \[[4 \times \lim \limits_{x\rightarrow c}^{}f(x) ]\]
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
Oh okay, how would I solve that?
 one year ago

apoorvkBest ResponseYou've already chosen the best response.2
and \(\lim \limits_{x\rightarrow c}^{}f(x) = 3/2\) is already given!
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
so what would we do divide 4?
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
im confsued.. what do we do
 one year ago

apoorvkBest ResponseYou've already chosen the best response.2
Cool down your nerves  nothing to get confused about! :) (ain;t no monster :P lol) I just brought the whole limit expression inside the GIF brackets  we can do that since it will not affect the limit value). Then, since \(\large \lim\limits_{x \rightarrow t}k.f(x) = k.\lim\limits_{x \rightarrow t}f(x)\), for any function f(x) and constant k, I take the '4' out of the limit, and I end up with: \[[ 4.\lim\limits_{x \rightarrow c}f(x)]\]
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
lol. Ok so for a, we still have [4 lim f(x)] as x approaches c.. ok
 one year ago

apoorvkBest ResponseYou've already chosen the best response.2
Now it's given (in your first whiteboard drawing above) that \(\lim \limits_{x\rightarrow c}f(x) = 3/2\), I substitute that value into \([4\lim \limits_{x\rightarrow c}f(x)]\), an hence now I get: \[4 \times (3/2)\]
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
So then a is: 6?
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
Can I write b now?
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
Kk im drawing now!
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
dw:1342985761573:dw
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
Is it just 2? I'm not sure
 one year ago

apoorvkBest ResponseYou've already chosen the best response.2
hey I need to make one thing sure  is that [.] for a stepup function or just general brackets?
 one year ago

apoorvkBest ResponseYou've already chosen the best response.2
if nothing's been stated, they're probably just general brackets~
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
what do you mean, sorry
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
Its lim [4f(x)] for a.
 one year ago

apoorvkBest ResponseYou've already chosen the best response.2
has anything been stated for those square brackets? If not am guessing they are just normal parenthesis, and not for GIF  in that case the second one would be 2 alright!
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
So a is still 6? and b is 2? lim [4f(x)] for a is exactly how it written
 one year ago

apoorvkBest ResponseYou've already chosen the best response.2
because:dw:1342986392700:dw
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
ok cool! so far i have a as 6, b as 2. Ill write c now
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
dw:1342986644322:dw
 one year ago

apoorvkBest ResponseYou've already chosen the best response.2
See, if [.] represents GIF, it should be mentioned, because in my education system, the rule is generally they would mention it if it is for a GIF  I am not sure about how's it stated in Us schools.
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
ok I wrote c. it says; lim[f(x)g(x)] as x>c
 one year ago

apoorvkBest ResponseYou've already chosen the best response.2
Okay here you use the funda: dw:1342986659285:dw
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
Ok so would c be 3/4?
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
dw:1342987062541:dw
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
lim f(x)/g(x) as x> c = ??
 one year ago

apoorvkBest ResponseYou've already chosen the best response.2
okay same way as the others  can you try this? You need to separate the two limits and then divide them.
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
Ok would it be 3?
 one year ago

schmidtdancerBest ResponseYou've already chosen the best response.1
dw:1342987382978:dw
 one year ago

apoorvkBest ResponseYou've already chosen the best response.2
Yeah right! good work!
 one year ago
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