If \[f(x)=x+\frac{x}{1+x}+\frac{x}{{{(1+x)}^{2}}}+....to\,\,\infty \], then at \[x=0,f(x)\]

Is continuous but not differentiable

If \[f(x)=x+\frac{x}{1+x}+\frac{x}{{{(1+x)}^{2}}}+....to\,\,\infty \],

1.	If \[f(x)=x+\frac{x}{1+x}+\frac{x}{{{(1+x)}^{2}}}+....to\,\,\infty \], then at \[x=0,f(x)\]
A.	Has no limit
B.	Is discontinuous
C.	Is continuous but not differentiable
D.	Is differentiable
Answer» C. Is continuous but not differentiable

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If \[f(x)=x+\frac{x}{1+x}+\frac{x}{{{(1+x)}^{2}}}+....to\,\,\infty \], then at \[x=0,f(x)\]

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