Answer to Question #85797 in Discrete Mathematics for Aaron

Question

Find a counter-example to the following statement:

For all real numbers x > 1, 1/x^2+1 ≤ 1/2^x+1

Answer 1

$$x=5$$

$$1/5 ^2 +1=1/25+1>1/32+1=1/2^5+1$$