`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|sin\ (1)/(x-a),if x ne 0),(0, if x =a):} at x = a

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"

f(x)={{:(e^(1//x)/(1+e^(1//x)),if x ne 0),(0,if x = 0):} at x = 0

f(x)={{:(e^(1//x)/(1+e^(1//x)),if x ne 0),(0,if x = 0):}at x = 0

f(x) = {{:((1-cosAx)/(x sinx), if x ne 0),(1/2, if x = 0):} at x = 0