Leg `f(x+y)=f(x)+f(y)fora l lx , y in R ,` If `f(x)i scon t inuou sa tx=0,s howt h a tf(x)` is continuous at all `xdot`

Leg f(x+y)=f(x)+f(y) for all x,y in R, If f(x) is continuous at x=0, show that f(x) is continuous at all x.

Let f(x+y)=f(x)+f(y) for all x and y If the function f(x) is continuous at x=0 show that f(x) is continuous for all x

Let f (x+y)=f (x) f(y) AA x, y in R , f (0)ne 0 If f (x) is continous at x =0, then f (x) is continuous at :

Let f(x+y)=f(x)+f(y)AA x, y in R If f(x) is continous at x = 0, then f(x) is continuous at

If f((x + 2y)/3)=(f(x) + 2f(y))/3 AA x, y in R and f(x) is continuous at x = 0. Prove that f(x) is continuous for all x in R.

Let f(x+y) = f(x) + f(y) for all x and y. If the function f (x) is continuous at x = 0 , then show that f (x) is continuous at all x.

Let f : R to R be a function given by f(x+y)=f(x)f(y) for all x , y in R If f(x) ne 0 for all x in R and f'(0) exists, then f'(x) equals

if f(x+y)=f(x)+f(y)+c, for all real x and y and f(x) is continuous at x=0 and f'(0)=-1 then f(x) equals to