Question:medium
If a function \(f(x)\) is given by
\[
f(x)=\frac{x}{1+x}+\frac{x}{(x+1)(2x+1)}+\frac{x}{(2x+1)(3x+1)}+\cdots+\infty,
\]
then at \(x=0\), \(f(x)\)
If a function \(f(x)\) is given by
\[
f(x)=\frac{x}{1+x}+\frac{x}{(x+1)(2x+1)}+\frac{x}{(2x+1)(3x+1)}+\cdots+\infty,
\]
then at \(x=0\), \(f(x)\)
Show Hint
Uniform convergence ensures differentiability.
Updated On: Mar 23, 2026
- has no limit
- is not continuous
- is continuous but not differentiable
- is differentiable
Show Solution
The Correct Option is D
Solution and Explanation
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