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arlik [135]
3 years ago
9

Find the limit as limit x->0, tan2x/x

Mathematics
1 answer:
kiruha [24]3 years ago
3 0
We are given with the expression <span>tan2x / x</span> and asked to evaluate the expression to limit as theta approaches zero. In this case, we substitute first zero. The answer is zero over zero. This  is indeterminate so we derive the terms accdg to L'hopital's rule. The derivative is 2 sec^2 2x/1. cos 2x is 1 so is sec^2 2x. Hence the answer is 2.
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