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## Limit of \(\left(1+\frac{1}{\sqrt n}\right)^n\) as n tends to \(\infty\) - Question

https://math.stackexchange.com/questions/2714939I'm trying to find \(\lim_{n \to \infty}{\left(1+\frac{1}{\sqrt n}\right)^n}\). It looks pretty easy, so I think there's probably something simple I'm missing, because I can't seem t...

## Evualuate \(\lim_{x\to \infty}(1+\frac{1}{\sqrt{x}})^x\) - Question

https://math.stackexchange.com/questions/2046856Evaluate \(\lim_{x\to \infty}(1+\frac{1}{\sqrt{x}})^x\) This is an exercise in my analysis book and I'm having trouble solving it. It's clearly related to the limit of \(e\). I've tri...

## Evualuate \(\lim_{x\to \infty}(1+\frac{1}{\sqrt{x}})^x\) - Answer 1

https://math.stackexchange.com/questions/2046864Evaluate \(\lim_{x\to \infty}(1+\frac{1}{\sqrt{x}})^x\) This is an exercise in my analysis book and I'm having trouble solving it. It's clearly related to the limit of \(e\). I've tri...

## Evualuate \(\lim_{x\to \infty}(1+\frac{1}{\sqrt{x}})^x\) - Answer 2

https://math.stackexchange.com/questions/2046888Evaluate \(\lim_{x\to \infty}(1+\frac{1}{\sqrt{x}})^x\) This is an exercise in my analysis book and I'm having trouble solving it. It's clearly related to the limit of \(e\). I've tri...

## Evualuate \(\lim_{x\to \infty}(1+\frac{1}{\sqrt{x}})^x\) - Answer 3

https://math.stackexchange.com/questions/2046894## Evualuate \(\lim_{x\to \infty}(1+\frac{1}{\sqrt{x}})^x\) - Answer 4

https://math.stackexchange.com/questions/2047241## Evualuate \(\lim_{x\to \infty}(1+\frac{1}{\sqrt{x}})^x\) - Answer 5

https://math.stackexchange.com/questions/2047252## Evualuate \(\lim_{x\to \infty}(1+\frac{1}{\sqrt{x}})^x\) - Answer 6

https://math.stackexchange.com/questions/2047256## Evualuate \(\lim_{x\to \infty}(1+\frac{1}{\sqrt{x}})^x\) - Answer 7

https://math.stackexchange.com/questions/2047281## Question regarding a method of finding the limit of a composition of functions - Question

https://math.stackexchange.com/questions/1151845Motivation: Evaluate \(\lim_{x\to \infty} \bigg(1+\frac{1}{\sqrt x}\bigg)^x ~.\) To find this limit, we learned from elementary calculus that we can change the variable \(x\) to...