• December 19th 2006, 12:08 PM
stupid_kid
• December 19th 2006, 12:50 PM
Plato
All one has to do is note that:
$0 \le x \le 1\quad \Rightarrow \quad 0 \le x^n \le 1\quad \& \quad 1 \le \sqrt {1 + x} \le \sqrt 2.$

Apply integral inequalities.