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Math Help - Limits of Trig Functions

  1. #1
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    Limits of Trig Functions

    Can someone give me a quick lesson on solving for the limits of trig functions. my teacher didn't do a very good job of it, and she expects us to take a quiz after the first day. i'm in so much trouble, so if someone could help
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  2. #2
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    This is a bit too vague I think. There's quite a lot of material I can think of that has to do with trig limits.

    Here's a link that covers two important special limits, with some examples:

    Special Trigonometric Limits - Library of Math

    If you ask some specific questions, I can help you more.
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  3. #3
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    um, the teacher taught us the squeezing theorem, but said it wouldn't work everytime. the one i'm stuck on right now is:

    limit x-->0 x^2/1-cos^2x

    or

    limit x--> positive infinity sin^-1(x/1-2x)


    or


    limiit x-->0 tan 3x^2 + sin^2 (5x) / x^2
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  4. #4
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    #1) \lim_{x \rightarrow 0} \frac{x^2}{1-\cos^2(x)}. (1)

    Use \sin^2(x)+\cos^(x)=1.

    (1) = \frac{x^2}{\sin^2(x)}= \left( \frac{x}{\sin(x)} \right) ^2= \left( \frac{\sin(x)}{x} \right) ^{-2}

    See where this is going?
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  5. #5
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    so because sin x/x = 1.

    the answer is 1?
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