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.

lim x-0 sin(x) x4 cos x) x
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We start with so that so that Expanding the first few terms gives lim x0 sinx ... View full answer
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