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anonymous
 4 years ago
Use the information to evaluate the limits. I have a drawing attached.
anonymous
 4 years ago
Use the information to evaluate the limits. I have a drawing attached.

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1342983331687:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0@apoorvk Let me draw out the options from which I have to answer.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1342983428659:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0we can do one at a time .there are 4. but heres A^

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

apoorvk
 4 years ago
Best ResponseYou've already chosen the best response.2Ohkay... 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?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so would it be lim f(4)?

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Oh okay, how would I solve that?

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so what would we do divide 4?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0im confsued.. what do we do

apoorvk
 4 years ago
Best ResponseYou've already chosen the best response.2Cool 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: \[[ 4.\lim\limits_{x \rightarrow c}f(x)]\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0lol. Ok so for a, we still have [4 lim f(x)] as x approaches c.. ok

apoorvk
 4 years ago
Best ResponseYou've already chosen the best response.2Now 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: \[4 \times (3/2)\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1342985761573:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Is it just 2? I'm not sure

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

apoorvk
 4 years ago
Best ResponseYou've already chosen the best response.2if nothing's been stated, they're probably just general brackets~

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0what do you mean, sorry

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Its lim [4f(x)] for a.

apoorvk
 4 years ago
Best ResponseYou've already chosen the best response.2has 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!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So a is still 6? and b is 2? lim [4f(x)] for a is exactly how it written

apoorvk
 4 years ago
Best ResponseYou've already chosen the best response.2because:dw:1342986392700:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok cool! so far i have a as 6, b as 2. Ill write c now

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1342986644322:dw

apoorvk
 4 years ago
Best ResponseYou've already chosen the best response.2See, 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.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok I wrote c. it says; lim[f(x)g(x)] as x>c

apoorvk
 4 years ago
Best ResponseYou've already chosen the best response.2Okay here you use the funda: dw:1342986659285:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Ok so would c be 3/4?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1342987062541:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0lim f(x)/g(x) as x> c = ??

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1342987382978:dw
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