# Limits question involving trigonometric functions

1. Oct 21, 2011

### dustinm

f(x)= ((cosx)$^{2}$+1)/e$^{x}$$^{2}$

So for the limit of f(x) as x→∞ I would just input ∞ for x. I'm confused after this though, wouldn't it just be ∞/∞ = 1?

the next part says show that there exists a number c ε (0,1) that f(c)=1
I don't know what this is asking for me to solve.

2. Oct 21, 2011

### SammyS

Staff Emeritus
What is the maximum value of (cos(x))2? the minimum value of (cos(x))2?

What is f(0) ?

What is f(1)?