`f(x)=(x+2)/(x+1)=>f(-2)=(-2+2)/(-2+1)=0x->-oo`

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

Let f(x)=x+(1)/(2)x+(1)/(2)x+(1)/(2)x+......oo Compute the value of f(100).f'(100)

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

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)

f(x)=1/(1+x^(2)),(-oo,0)toR

Let f (x) be a twice differentiable function defined on (-oo,oo) such that f (x) =f (2-x)and f '((1)/(2 )) =f' ((1)/(4))=0. Then int _(-1) ^(1) f'(1+ x ) x ^(2) e ^(x ^(2))dx is equal to :