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)** $-\frac12$. **(b)** $1$. **(c)** $1$.

Evaluation of limits using Maclaurin's series

Evaluation of limits using Maclaurin's series

Solution:

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