For function f(x)= ( 1 + 1 x )^x Which one of the following limit… - Vidyadip

MCQ

For function $f(x)={\left( {1 + \frac{1}{x}} \right)^x}$ Which one of the following limits tends to unity'

A
$\mathop {Lim}\limits_{x \to \infty } \,\,{\rm{f}}(x)$
✓
$\mathop {Lim}\limits_{x \to {0^ + }} \,\,{\rm{f}}(x)$
C
$\mathop {Lim}\limits_{x \to - {1^ - }} \,\,{\rm{f}}(x)$
D
$\mathop {Lim}\limits_{x \to - \infty } \,\,{\rm{f}}(x)$

✓

Answer

Correct option: B.

$\mathop {Lim}\limits_{x \to {0^ + }} \,\,{\rm{f}}(x)$

b

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