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cassieforlife5
 one year ago
Find the limit as x approaches 1
cassieforlife5
 one year ago
Find the limit as x approaches 1

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cassieforlife5
 one year ago
Best ResponseYou've already chosen the best response.0dw:1444032099173:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\large \lim_{x\rightarrow 1} \frac{\dfrac{1}{\sqrt{1+x}}1}{x}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well, let's try a two sided limit approach.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So the first would be \(x\rightarrow (1)^\) and the second approach would be \(x\rightarrow (1)^+\)

cassieforlife5
 one year ago
Best ResponseYou've already chosen the best response.0okay I normally plug these into the calculator and use the table, but I'm not sure how I should insert it into the calculator

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well, you simply need to find a number that is incrementally smaller than 1 from the left,...like.... 0.9999

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Then from the right, you could choose a number that incrementally bigger than 1, like... 1.00001

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The value you get will essentially tell you whether your limit is approaching \(+\infty\) or \(\infty\)

cassieforlife5
 one year ago
Best ResponseYou've already chosen the best response.0I'm having trouble including the actual equation. Now i'm putting in: \[\left( \left( 1\div \sqrt{1+\chi} \right))\div \chi \right)(1\div \chi)\] But I don't think it's right

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So how I would input into the calculator: \[\large \frac{((1)/(\sqrt{10.99999} ) 1))}{(0.99999)}\]

cassieforlife5
 one year ago
Best ResponseYou've already chosen the best response.0it says error which is the problem that I had before as well :( I've tried phrasing the equation differently too

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Might be the lack or the total amount of parenthesis.

cassieforlife5
 one year ago
Best ResponseYou've already chosen the best response.0hmm i don't know. I can't think of any other way to insert it though

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'll show you in a second, let me just upload a picture so I can insert it here.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Take a look at that.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hm.. as @iambatman stated earlier, what if we were to simplify the function a little?

cassieforlife5
 one year ago
Best ResponseYou've already chosen the best response.0okay I got an answer from that and I'm working on a few of the other values

cassieforlife5
 one year ago
Best ResponseYou've already chosen the best response.0wait wouldn't you need another parentheses after the 1? or is that what was messing me up before

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah that's why I'm figuring out how to make this equation more manageable.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\begin{align} \lim_{x\rightarrow (1)^} \frac{\dfrac{1}{\sqrt{1+x}}1}{x} \qquad &\implies\lim_{x\rightarrow (1)^} \frac{1\sqrt{1+x}}{x\sqrt{1+x}} \\ & \implies \lim_{x\rightarrow (1)^} \frac{1}{x\sqrt{1+x}} \frac{1}{x} \end{align} \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I've got to head off, good luck figuring this out!
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