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## Homework Statement

Find the limit of f(x)=[xcosx]/[x^3 + 1] as x tends to infinity.

## Homework Equations

## The Attempt at a Solution

Can i use l'hopitals rule here? Or if not, what are the conditions for f(x) to meet so that i may use l'hopitals rule?

Without using l'hop i know that cosx would oscillate between -1 and 1 and that is multiplied by infinity. Then the denominator would tend towards infinity. So what is infinity over infinity?