The function f(x)= array cc 1 4^ x -1 ; & x 0 0 & x=0 array . is continuous
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
The function \[f(x)=\left\{\begin{array}{cc}
\frac{1}{4^{x}-1} ; & x \neq 0 \\
0 & x=0
\end{array}\right.\] is continuous
- everywhere except at x = 0 and x = 1
- nowhere
- everywhere
- everywhere except at x = 0
Answer
(D) everywhere except at x = 0
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