🔘 Single MCQ
🟡 Medium
📐 Mathematics
Limits
Let $f:R\to \left( 0,\infty \right)$ be such that $f\left( x \right)+\frac{e^{x+x^{2}}}{f\left( x \right)}\le e^{x}+e^{x^{2}}, \forall$ $x>0$. Then, $\displaystyle\lim_{x \to 1} f\left( x \right)$ is
A
1
B
$\dfrac{1}{e}$
C
e
D
2e