f(x) = (x - [x]) sin ((1)/(X)) , at x =...

` f(x) = (x - [x]) sin ((1)/(X)) ` , at x = 0 , f is

A

continuous

B

discontinuous

C

not determined

D

none

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

Show that f(x) = x sin ((1)/(x)), x ne 0 , f(0) = 0 is continuous at x = 0

Show that the functions f (x) = x ^(3) sin ((1)/(x)) for x ne 0, f (0) =0 is differentiable at x =0.

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

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

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

If f (x) = ( x sin 5 x)/(tan 2x tan 7x), x in 0 , f (0) = 5/9 then at x = 0 f(x) is

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