A) \[\sqrt{2}\ln 2\]
B) \[\ln 2\]
C) \[\sqrt{2}\]
D) \[\ln 4\]
Correct Answer: D
Solution :
[d]: Given limit \[=\underset{x\to 0}{\mathop{\lim }}\,\frac{{{2}^{x}}-1}{x}(\sqrt{1+x}+1)\] \[=2\underset{x\to 0}{\mathop{\lim }}\,\frac{{{2}^{x}}-1}{x}=2\ln 2=\ln 4\]
You need to login to perform this action.
You will be redirected in
3 sec
