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Thread: Need a little confirmation on limit of tan(x)/x

  1. October 19th 2009, 08:34 PM #1
    dannyboycurtis
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    Need a little confirmation on limit of tan(x)/x

    So I have been asked to find the \lim_{x\to 0} \frac{tan(x)}{x}=1
    Not sure how to do a delta/epsilon proof on this one
    any help?
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  2. October 19th 2009, 08:44 PM #2
    chisigma
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    By definition is...

    \frac{\tan x}{x} = \frac{1}{\cos x}\cdot \frac{\sin x}{x} (1)

    The second term of (1) is the product of a function that is 'well defined' in x=0 and a function the limit of which for x \rightarrow 0 is know as 'fundamental limit'...

    Kind regards

    \chi \sigma
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