Function f(x)= ( 1 + 1 x )^x then Range of the function f (x) is - Vidyadip

MCQ

Function $f(x)={\left( {1 + \frac{1}{x}} \right)^x}$ then Range of the function f (x) is

A
$(0, \infty )$
B
$(- \infty , e)$
C
$(1, \infty )$
✓
$(1, e) \cup (e, \infty )$

✓

Answer

Correct option: D.

$(1, e) \cup (e, \infty )$

d

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