f(x) = ( x^(2))/(|x|) , x ne 0 f (0) = 0...

` f(x) = ( x^(2))/(|x|) , x ne 0 f (0) = 0 ` at x = 0 , f is

A

left continuous

B

right continuous

C

continuous

D

discontinuous

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

f(x) = (1 + x)^(5//x) , x in 0, f (0) = e^(5) , at x =0 f is

f(x) = (3 sin x - sin (3x))/(x^(3)) , x ne 0 , f(0) = 4 at x = 0 , f is

f(x) = (tan x)/(x) , x ne , f(0 ) = 1 , f(x) at x = 0 is

f(x) = (|x|)/(x) , x ne 0 , f(0) = 1 then f(x at x = 0 9s

f (x) = x cos ((1)/(x^(2))), x in 0 , f (0) = 1 at x = 0 f is

f(X) = (7|x| + 5x)/(7|x| - 5x) , x ne , f(0) = 6 at x = 0 f(x) is

f(x) = (1 - cos (4x))/(x^(2)) , x in 0, f (0) = 8 , at x =0 f is

The function f(x) =(7|x|+5x)/(7|x|-5x) for x ne 0, f(0)=6" at x =0 is "

f(x) = (sin (x-a))/(x -a) , x ne , f(a) = 0 , f(x) at x = a is