Anikate
  • Anikate
help with limits please.... medals
Mathematics
katieb
  • katieb
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

Anikate
  • Anikate
cool. imma post a pic real quick
Anikate
  • Anikate
Anikate
  • Anikate
g and l

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

jtvatsim
  • jtvatsim
g should be similar to the very first question. I'm going to predict that this is some sort of infinity.
jtvatsim
  • jtvatsim
It's hard for me to see i) so I'll hold my predictions.... :)
Anikate
  • Anikate
I got undefined after plugging in thr x value
jtvatsim
  • jtvatsim
OK, so if that's good enough for your teacher, then you are done. Otherwise you can try an x a little to the left and/or right as needed.
jtvatsim
  • jtvatsim
Or graph it! :)
Anikate
  • Anikate
|dw:1433996948686:dw|
Anikate
  • Anikate
thats the question
jtvatsim
  • jtvatsim
So there is a little - sign below the limit?
Anikate
  • Anikate
yea
jtvatsim
  • jtvatsim
So you could try an x slightly to the left of 4 if you like.
Anikate
  • Anikate
ok 3.9?
jtvatsim
  • jtvatsim
Sure that should do it. A graph will also reveal which infinity this is.
Anikate
  • Anikate
I got -20 after plugging in 3.9
Anikate
  • Anikate
I want t
Anikate
  • Anikate
try
Anikate
  • Anikate
i want to try and do these without graphing, cuz were not supposed ot
Anikate
  • Anikate
to*
jtvatsim
  • jtvatsim
Well, in that case... :)
jtvatsim
  • jtvatsim
Best answer at this point then since you got a negative, would be to say this is negative infinity.
Anikate
  • Anikate
got it
Anikate
  • Anikate
and can you show me how to do l
Anikate
  • Anikate
its the second to last one
jtvatsim
  • jtvatsim
|dw:1433997229274:dw|
jtvatsim
  • jtvatsim
Sure thing, let's see it!
jtvatsim
  • jtvatsim
I can make out everything except the x information under the limit.
Anikate
  • Anikate
|dw:1433997257410:dw|
Anikate
  • Anikate
thats the questions
jtvatsim
  • jtvatsim
cool
Anikate
  • Anikate
yup
jtvatsim
  • jtvatsim
Alright, so we obviously will get a 0 on the bottom, but let's look at the top, what is cos(0)?
Anikate
  • Anikate
why 0 on the bottom?
Anikate
  • Anikate
i thoght x turn to 1 in hospitals
jtvatsim
  • jtvatsim
Only if you get 0/0 as the limit when you first plug in. It's a key restriction.
jtvatsim
  • jtvatsim
L'Hospital only works when the limit is 0/0 exactly.
jtvatsim
  • jtvatsim
In this case, we actually get 1/0. Since cos(0) = 1.
Anikate
  • Anikate
oh ok
jtvatsim
  • jtvatsim
Tricky fish!
Anikate
  • Anikate
right lol
Anikate
  • Anikate
so what do we do from here?
jtvatsim
  • jtvatsim
So this is yet another infinity it seems. :)
Anikate
  • Anikate
isnt 1/0 undefined?
jtvatsim
  • jtvatsim
That's true. But just like we were doing before, when you get undefined, it might be positive or negative infinity.
Anikate
  • Anikate
oh ok, and how would u find?
jtvatsim
  • jtvatsim
Plug in x a little to the left. AND also an x a little to the right. We have to do both in this case because there isn't a left or right hand limit.
Anikate
  • Anikate
ok
jtvatsim
  • jtvatsim
It's a two sided limit (no + or - subscript thing).
jtvatsim
  • jtvatsim
Nevermind, that would be ridiculous.
Anikate
  • Anikate
wait, but the x is = 0
Anikate
  • Anikate
lollolol
jtvatsim
  • jtvatsim
yes, yes, I'm falling asleep here. :)
Anikate
  • Anikate
lol its 1am here, same
jtvatsim
  • jtvatsim
Anyways, maybe I should let you make the suggestions... zzzz
Anikate
  • Anikate
-1 and 1?
jtvatsim
  • jtvatsim
OK, you might want to get a little tighter than that, I'd say -0.1 and 0.1 just to be safe.
Anikate
  • Anikate
ok
jtvatsim
  • jtvatsim
You don't want the equation to think you are testing for x = 1 and x = -1... it has feelings too. :)
Anikate
  • Anikate
i got -9.9 and 9.9
Anikate
  • Anikate
lol
jtvatsim
  • jtvatsim
Well, isn't that interesting? From the left, it looks like negative infinity. But from the right it looks like positive infinity.
jtvatsim
  • jtvatsim
The left-hand limit does not equal the right-hand limit, this limit Does Not Exist!
Anikate
  • Anikate
ya, this cray cray
Anikate
  • Anikate
oh cool
Anikate
  • Anikate
got it thanks!
jtvatsim
  • jtvatsim
What's weird is that it isn't even Undefinied. It literally does not even exist! :)
jtvatsim
  • jtvatsim
Awesome. Glad to help! Good luck with your studies! :)
Anikate
  • Anikate
oh whats the difference?
jtvatsim
  • jtvatsim
Undefined usually means it's some sort of infinity. It's just not a "normal" number.
Anikate
  • Anikate
ooooh ok
jtvatsim
  • jtvatsim
In this case, the right hand limit flies up to positive infinity, while the left hand limit flies down to negative infinity, leaving a huge break in the gap going in opposite directions.
jtvatsim
  • jtvatsim
So, the (two-sided) limit does not exist.
Anikate
  • Anikate
oh sounds good! thanks for all ur help! get
Anikate
  • Anikate
time to get some sleep haha! good night!
jtvatsim
  • jtvatsim
Your welcome! Ah... yes... sleep.... zzzz -.-

Looking for something else?

Not the answer you are looking for? Search for more explanations.