Question: The limits can be done using multiple LHopitals Rule steps. Power series provide an alternative approach. In each case substitute in the Maclaurin series for

The limits can be done using multiple L’Hôpital’s Rule steps. Power series provide an alternative approach. In each case substitute in the Maclaurin series for the trig function or the inverse trig function involved, simplify, and compute the limit.

cosx1+ 14 lim X-0 2

cosx1+ 14 lim X-0 2

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Using the Maclaurin series for cos x we find Thus and COS X 00 lim x0 2n 2n 1 n0 cos x 1 c... View full answer

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