f(x) = (sin (x-a))/(x -a) , x ne , f(a) ...

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

A

discontinuous

B

continuous

C

not determined

D

none

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

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

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

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

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

f (x) = (sin x )/(x) , x ne 0 and f(x) is continous at x = 0 then f(0) =

Discuss the continulity of f(x) = (e^(1/x) -1)/(e^(1/x) + 1) , x ne 0 and f(0) = 0 at x = 0 .

The function f(x)=(3sin x-sin 3x)/(x^(3))" for "x ne 0, f(0) =1 at x=0 is