`f(x)={{:(|x|cos\ 1/x, if x ne 0),(0, if x =0):}` at `x = 0` .

f(x) = {{:(x^(2)sin'1/x, if x ne 0),(0, if x = 0):} at x = 0 .

f(x) = {{:(x^(2)sin'1/x, if x ne 0),(0, if x = 0):} at x = 0 .

Check the continuity of the function ‘f defined by f(x)={{:(cos x,if x ne 0),(1 ,if x=0):} at x=0

Examine the following functions for continuity: f(x) = {:{(x cos (1/x), x ne 0),(0, x = 0):} at x = 0

f(x)={{:((1-cos2x)/(x^(2)),if x ne 0),(5, if x = 0):} at x = 0 .

f(x)={{:((1-cos2x)/(x^(2)),if x ne 0),(5, if x = 0):} at x = 0 .

Check the continuity of f(x)={{:((1-cos2x)/(x^(2)),if x ne 0),(5, if x = 0):} at x = 0 .

Examine the continuity of the following function at the indicated pionts. f(x)={{:(,x^(2) cos (1/x) , x ne 0),(,0 , x =0):}" at x=0"

Examine the continuity of the function f(x) = {(|x|.cos ((1)/(x))",","if" x ne 0),(0",","if" x = 0):} at x= 0