Question

Find the limit of (lnx)(sinx) as x approaches infinity.

Answer 1

\[\lim_{x \rightarrow \infty} \ln(x)\sin(x)\]

Answer 2

well the lim of sin(x) is indeterminate as x->inf

I would say this limit does not exist

Answer 3

http://www.wolframalpha.com/input/?i=lim+log%28x%29*sin%28x%29+as+x-%3Einfinity