If f(x)=x+ x 1+x + x (1+x)^ 2 + to ∞, then at x = 0, f (x)
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If \(f(x)=x+\frac{x}{1+x}+\frac{x}{(1+x)^{2}}+\ldots\)to ∞, then at x = 0, f (x)
- \(\lim _{x \rightarrow 0} f(x)\)does not exist
- is discontinuous
- is continuous but not differentiable
- is differentiable
Answer
(B) is discontinuous
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