Question

what is the lim as x approaches infinity of (e^x)(sinx)

Answer 1

im thinking infinity .. because e^inf is inf and sin(inf) is inf .. is this true?

Answer 2

MIND IT sin(inf) is not equal to inf
sinx lies only between -1 to 1

so the e^x factor dominates since it tends to infinity

but since sin x is fluctuating between -1 to 1 then limit fluctuates between -inf to inf
so it`s of oscillating nature or limit doesn`t exit

Answer 3

oh yeahhhh, thanks !

Answer 4

:)