1
$\begingroup$

I'm having big problem evaluating the next limit:

$$\lim_{x\to+\infty}\frac{(3^x+x^3)\sin(x)}{(3^x + x^2)}$$

Could you please help me with steps?

$\endgroup$
2
$\begingroup$

The limit does not exist since: $$ \lim_{x \to +\infty}\frac{3^x+x^3}{3^x+x^2}=1 $$ but $\lim_{x \to +\infty}\sin x $ does not exist.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.