If a function f(x) is given by f (x) = x/{1+x} + x/{(x+1)(2x+1)} + x/{(2x+1)(3x+1)} + ... ∞ , then at x = 0 , f (x)

Correct Answer is : is not continuous

is continuous but not differentiable

BITSAT 2015 Paper

Section: Mathematics

Question : 86 of 150

Marks: +1, -0

If a function f(x) is given by
f (x) =

1+x

(x+1)(2x+1)

(2x+1)(3x+1)

+ ... ∞ , then at x = 0 , f (x)

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1	x≠0
0	x=0