Let f(x)=(lim)(x rarr oo)sum(r=0)^(n-1)x...

Let `f(x)=(lim)_(x rarr oo)sum_(r=0)^(n-1)x/((r x+1){(r+1)x+1})` . Then (A) `f(x)` is continuous but not differentiable at `x=0` (B) `f(x)` is both continuous but not differentiable at `x=0` (C) `f(x)` is neither continuous not differentiable at `x=0` (D) `f(x)` is a periodic function.

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Let `f(x)=(lim)_(x rarr oo)sum_(r=0)^(n-1)x/((r x+1){(r+1)x+1})` . Then (A) `f(x)` is continuous but not differentiable at `x=0` (B) `f(x)` is both continuous but not differentiable at `x=0` (C) `f(x)` is neither continuous not differentiable at `x=0` (D) `f(x)` is a periodic function.

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