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(Solved): Verify that the Maclaurin series of sinx is given by x3!x3+5!x5. Hence, evaluate lim ...

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Verify that the Maclaurin series of

sin x

is given by

x ? \frac{x ^{3}}{3 !} + \frac{x ^{5}}{5 !} ? ? .

Hence, evaluate

lim_{x ? 0} \frac{x ? s i n x}{x ^{3}} .

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