MCQ
Which of the following function is not continuous at x = 0?
  • $f ( x ) \begin{cases}=\frac{e^{1 / x}-1}{e^{1 / x}+1}, & x \neq 0 \\ =-1, & x=0\end{cases}$
  • B
    $f ( x ) \begin{cases}=\sin x-\cos x, & x \neq 0 \\ =-1, & x=0\end{cases}$
  • C
    $f ( x ) \begin{cases}=\frac{e^{5 x}-e^{2 x}}{\sin 3 x}, & x \neq 0 \\ =1, & x=0\end{cases}$
  • D
    $f ( x )= \begin{cases}=(1+2 x)^{1 / x}, & x \neq 0 \\ =e^2, & x=0\end{cases}$

Answer

Correct option: A.
$f ( x ) \begin{cases}=\frac{e^{1 / x}-1}{e^{1 / x}+1}, & x \neq 0 \\ =-1, & x=0\end{cases}$
A

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