" If "f(x)=x+(x)/(1+x)+(x)/((1+x)^(2))+....oo" then at "x=0,f(x)

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

"Let "f(x)=x + (1)/(2x + (1)/(2x + (1)/(2x + .....oo))). Then the value of f(50)cdot f'(50) is -

If f(x) = x/(1 + (In x)(ln x). ..oo) AA x in [1.oo) then int_1^(2e) f(x) dx equals:

If f (x) = f ^(1) (x) + f ^(11) (x) + f ^(111) (x) +........oo then find (f ^(1) (x))/(f (x)).

If f(x)=(x)/(1+(In x)(ln x)...oo)AA x in[1,oo) then int_(1)^(2e)f(x)dx equals:

If f(x)=(x^(2))/(1+x^(2)), prove that lim_(x rarr oo)f(x)=1

If f (x) = x-x ^(2) + x ^(3) - x ^(4) +….oo, |x| lt 1, then f '(x)=

If f(x)=1+x^(2)+x^(4)+x^(6)+…..oo then int_(0)^(x)f(x)dx=

f(x)={(x)/(1+x)+(x)/((1+x)(1+2x))+(x)/((1+2x)(1+3x))+....n terms} and x gt 0 then Lt_(x to oo)f(x)=