# Homework Help: Determining a trigonometric limit

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1. May 10, 2017

### Bunny-chan

1. The problem statement, all variables and given/known data
Calculate the following limit:

2. Relevant equations

3. The attempt at a solution
I don't know how to proceed with this. I've tried to multiply by the conjugate, and to simplify the expression $(x+\pi)$ to $u$, but I wasn't very sucessful. To what kind of algebric device I could resort to? Or is there other way to deduce the limit?

2. May 10, 2017

### LCKurtz

The problem as written is continuous at $x=0$, so just plug it in. Or if both terms in the denominator are supposed to be cube roots, try L'Hospital's rule.

3. May 10, 2017

### Ray Vickson

I assume you meant to write $\sqrt[3]{x+\pi}$ instead of $3 \sqrt{x+\pi}$ in the denominator. If you do not want to (or are unable to) use calculus, use instead the algebraic identity $a^3-b^3 = (a-b)(a^2+a b + b^2)$ for appropriate $a$ and $b$.