CUET and UG exam WB JEE Mock Test Series 2025 Mathematics Limit and Continuity Continuity of a function
Let \(f: [a, b] \rightarrow [1, \infty)\) be a continuous function and let \(g : R \rightarrow R\) be defined as \(g(x) = \left\{\begin{matrix}0 & if & x b\end{matrix}\right.\) . Then
1
\(g(x)\) is continuous but not differentiable at \(a\)
2
\(g(x)\) is differentiable on \(R\)
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\(g(x)\) is continuous but not differentiable at \(b\)
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\(g(x)\) is continuous and differentiable at either \(a\) or \(b\) but not both