If `f'(a) = 2` and `f(a) = 4` then `Lim_(x to a) (xf(a) + af(x))/(x - a)` equals

A

`4`

B

`2a`

C

`4 + 2a`

D

`4 - 2a`

Verified by Experts

Similar Questions

Explore conceptually related problems

If f(a)=2 f'(a)=1 g(a)=-1 g'(a)=2 then lim_(xtoa)(g(x)f(a)-g(a)f(x))/(x-a) is

If f(5) = 7 and f'(5) = 7, then "lim_(x-5)(xt(5)-5t(x))/(x-5) is equal to:

Find lim_(x to 0)f(x) , when f(x) = (5x + 2) .

Find lim_(x to 2)f(x) , where f(x) = 3|x| - 2

If f (9) = 9, f '(9) = 1, then lim_(x rarr 9) (8-sqrt(f(x)))/(3-sqrtx) =

If f(x) = |(sin x, cos x , tan x),(x^3, x^2 ,x),(2x, 1,x)| then Lim_(x to 0) (f(x))/(x^2) equals

Let F(2)=4 and f'(2)=4 then underset(xrarr2)lim (xf(2)-2f'(2))/(x-2) is equal to:

Let f(x) be a differentiable function and f'(4) = 5, then: underset(xrarr2)lim(f(4)-f(x^2))/(x-2) equals:

If f (x) = (sin [x])/([x]) for [x] ne 0. Then lim _(x to 0_(-)) f (x) equals :

If f(x)=0 is a quadratic equation such that f(-pi)=f(pi)=0 and f(pi/2)=-(3pi^2)/4, then lim_(x->-pi)(f(x))/("sin"(sinx) is equal to