A) 0
B) \[-1\]
C) 2
D) none of these
Correct Answer: A
Solution :
\[\underset{x\to \infty }{\mathop{\lim }}\,\frac{\sqrt{1+{{x}^{4}}}-(1+{{x}^{2}})}{{{x}^{2}}}\] \[=\underset{x\to \infty }{\mathop{\lim }}\,\frac{\sqrt{1+\frac{1}{{{x}^{4}}}-\left( 1+\frac{1}{{{x}^{2}}} \right)}}{1}\] \[=\underset{x\to \infty }{\mathop{\lim }}\,\frac{\sqrt{1+0}-(1+0)}{1}\] \[=0\]You need to login to perform this action.
You will be redirected in
3 sec