91Ó°ÊÓ

Exponential Limit Evaluate: \(\lim _{x \rightarrow 0} \frac{9^{x}-2.6^{x}+4^{x}}{x^{2}}\)

Newton and Leibnitz Rule Evaluate: \(\lim _{x \rightarrow 0}\left(\frac{x-\int_{0}^{x} \cos \left(t^{2}\right) d t}{x^{3}-6 x}\right)\)

Definite Integral as the limit of a sum Evaluate: \(\lim _{n \rightarrow \infty}\left[\frac{1}{n+1}+\frac{1}{n+2}+\frac{1}{n+3}+\ldots+\frac{1}{2 n}\right]\)