Question

Determine whether the sequence converges or diverges. If it converges, find the limit.
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I am having trouble finding the limit of this one. wolfram says 0 but I keep getting infinity for the derivative of the top part:

Answer 1

\[\left\{ \frac{ n \sin(n) }{ n^2 +3} \right\}\]

Answer 2

rewrite it like this:
\[\frac{1}{n+3/n}\sin(n)\]
sin(n) is bounded . and the coeficient on the left tends to 0, so lim =0