If f(x)= array cc |x+2| ^ -1 (x+2) ; & x -2 =2 ; & x=-2 array . then f (x) is
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If \[f(x)=\left\{\begin{array}{cc}
\frac{|x+2|}{\tan ^{-1}(x+2)} ; & x \neq-2 \\
=2 ; & x=-2
\end{array}\right.\] then f (x) is
- continuous at x = –2
- not continuous at x = –2
- differentiable at x = –2
- continuous but not diff. at x = –2
Answer
(B) not continuous at x = –2
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