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- Nov 29th 2006, 04:39 PMFLTRtrigonometric limit
- Nov 29th 2006, 04:45 PMThePerfectHacker
The function,

Can be expressed equivalently as,

If we "cancel" to get,

Then the functions, will agree on some open interval containing except possiblly at itself.

Thus, the limit exististence and value is equivalent to,

Express as,

We note that,

by the limit composition rule and one of the famous limits.

Thus, since the functional limits exists so does its sum which is,

- Nov 30th 2006, 02:37 AMTD!
Taylor works fast here too, sin(a) =~ tan(a) =~ a for a arround 0, so: