Evaluate the following limits using Maclaurin series. $\lim_{x \to 0} \frac{\cos x - 1}{x^2}$ \(\l

Question

Evaluate the following limits using Maclaurin series. $\lim_{x \to 0} \frac{\cos x - 1}{x^2}$ $\lim_{x \to 0} \frac{xe^x}{\ln(1 + x)}$ $\lim_{x \to 0} (e^x - 1) \cot x$

Accepted Answer

(a) $-1$ ; (b) $ \frac{1}{2} $; (c) $ \frac{1}{2} $.

Evaluation of limits using Maclaurin's series

Evaluation of limits using Maclaurin's series