If `f: RvecR` be a differen tiable function atg `x=0` satisfying `f(0)=0a n df^(prime)(0)=1` , then the value of `(lim)_(xvec0)1/xsum_(n=1)^oo(-1)^nf(x/n)=` `e` b. `-log2` c. `0` d.`1`

If f:R rarr R be a differen tiable function atg x=0 satisfying f(0)=0 and f'(0)=1 then the value of lim_(x rarr0)(1)/(x)sum_(n=1)^(oo)(-1)^(n)f((x)/(n))=e b.-log2 c.0 d.1

Let f : R rarr R be a differentiable function at x = 0 satisfying f(0) = 0 and f'(0) = 1, then the value of lim_(x to 0) (1)/(x) . sum_(n=1)^(oo)(-1)^(n).f((x)/(n)) , is a. 0 b. -log2 c. 1 d. e

Let f : R rarr R be a differentiable function at x = 0 satisfying f(0) = 0 and f'(0) = 1, then the value of lim_(x to 0) (1)/(x) . sum_(n=1)^(oo)(-1)^(n).f((x)/(n)) , is

Let f : R rarr R be a differentiable function at x = 0 satisfying f(0) = 0 and f'(0) = 1, then the value of lim_(x to 0) (1)/(x) . sum_(n=1)^(oo)(-1)^(n).f((x)/(n)) , is

Let f:R to R differerntiable at x=0 and satisfies f(0)=0 and f'(0)=1, then the value of lim_(x to 0) (1)/(x) sum_(x to 1)^(oo) (-1)^(n) f((x)/(n))is

If f(x)=m x+ca n df(0)=f^(prime)(0)=1. What is f(2)?

Let f(x) be continuous functions f: RvecR satisfying f(0)=1a n df(2x)-f(x)=xdot Then the value of f(3) is 2 b. 3 c. 4 d. 5

Let f(x) be continuous functions f: RvecR satisfying f(0)=1a n df(2x)-f(x)=xdot Then the value of f(3) is 2 b. 3 c. 4 d. 5

Let f(x) be continuous functions f: RvecR satisfying f(0)=1a n df(2x)-f(x)=xdot Then the value of f(3) is 2 b. 3 c. 4 d. 5

Let f(x) be continuous functions f: RvecR satisfying f(0)=1a n df(2x)-f(x)=xdot Then the value of f(3) is 2 b. 3 c. 4 d. 5