# Limits question involving trigonometric functions

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.

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

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.
What is f(0) ?

What is f(1)?