The value of \(\displaystyle \lim_{x \rightarrow \infty} (1+x^2)^{e^{-x}}\) is

GATE · 2015 · CS · Set 3 · Computer Science & IT

The value of $\displaystyle \lim_{x \rightarrow \infty} (1+x^2)^{e^{-x}}$ is

A.
$0$
B.
$\frac {1} {2}$
C.
$1$
D.
$\infty$

Attempted by 125 students.

Sign up free to check your answer

Explore the full course: Aptitude For Gate