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## Homework Statement

Using Taylor's theorem, prove that

[tex]x-\frac{x^3}{6}<sin(x)<x-\frac{x^3}{6}+\frac{x^5}{120}[/tex] for x>0.

## Homework Equations

## The Attempt at a Solution

I know what is Taylor theorem but i haven't done some basic questions on it, i mean the easy ones. I have no idea on how should i start here.