![SOLVED:Prove that limx→∞ (e^x)/(x^n) = ∞for any positive integer n . This shows that the exponential function approaches infinity faster than any power of x . SOLVED:Prove that limx→∞ (e^x)/(x^n) = ∞for any positive integer n . This shows that the exponential function approaches infinity faster than any power of x .](https://cdn.numerade.com/previews/14477ce4-1357-4308-bace-f5302b3f270f_large.jpg)
SOLVED:Prove that limx→∞ (e^x)/(x^n) = ∞for any positive integer n . This shows that the exponential function approaches infinity faster than any power of x .
![calculus - why does e raised to the power of negative infinity equal 0? - Mathematics Stack Exchange calculus - why does e raised to the power of negative infinity equal 0? - Mathematics Stack Exchange](https://i.stack.imgur.com/FH7Ip.png)
calculus - why does e raised to the power of negative infinity equal 0? - Mathematics Stack Exchange
![Limit x--infinity e^x-e^-x/ e^x+e^-x - Maths - Continuity and Differentiability - 12833681 | Meritnation.com Limit x--infinity e^x-e^-x/ e^x+e^-x - Maths - Continuity and Differentiability - 12833681 | Meritnation.com](https://s3mn.mnimgs.com/img/shared/content_ck_images/ck_5b377ee8e8203.jpeg)
Limit x--infinity e^x-e^-x/ e^x+e^-x - Maths - Continuity and Differentiability - 12833681 | Meritnation.com
![definite integrals - What is the value of integration over zero to infinity of $exp^{-x^n}$? - Mathematics Stack Exchange definite integrals - What is the value of integration over zero to infinity of $exp^{-x^n}$? - Mathematics Stack Exchange](https://i.stack.imgur.com/12RCT.jpg)