can you please find: $\displaystyle \displaystyle \lim_{x\rightarrow -\infty} {e}^{4x} \sin x $
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Originally Posted by razemsoft21 can you please find: $\displaystyle \displaystyle \lim_{x\rightarrow -\infty} {e}^{4x} \sin x $ Use the fact that $\displaystyle -1 \leq \sin (x) \leq 1$ and consider the behaviour of $\displaystyle e^{4x}$.
i've seen many of these problems and it seems the people who ask them never remember this useful fact: let $\displaystyle a_n\to0$ as $\displaystyle n\to\infty,$ then if $\displaystyle b_n$ is bounded, we have $\displaystyle a_nb_n\to0$ as well.
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