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problem on limits using standard trigonometric limit

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 evaluate limit (1-cosx) / x² as x-->0
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use trigonometric identities to change 1-cosx to sin x and
then manipulate using
{ (sinx) / x} ---->1 as x-->0
answer and  some steps are given below

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other examples
limit of (x^2-49)/(x^2+5x-14) as x-->( -7)    -----> (limit)

lim [e^(-ax)-e^(-bx)]/x   as x->0 -----> (limit)



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