What is #lim_(xrarroo) (e^xsin(1/x))/x #?
1 Answer
Nov 6, 2015
The limit does not exist.
Explanation:
(http://www.ies-math.com/math/java/calc/LimSinX/LimSinX.html)
As
Since exponential growth (numerator) is faster than polynomial growth (denominator), the limit does not exist.
(http://math.stackexchange.com/questions/872848/proving-exponential-is-growing-faster-than-polynomial)