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Limits question involving trigonometric functions

  1. Oct 21, 2011 #1
    f(x)= ((cosx)[itex]^{2}[/itex]+1)/e[itex]^{x}[/itex][itex]^{2}[/itex]

    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. jcsd
  3. Oct 21, 2011 #2


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

    What is f(0) ?

    What is f(1)?
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