Discuss the continuity of `f(x) ={:{(sin""(1)/(x)", "x ne 0),(" "1", " x= 0):},`

Discuss the continuity of f(x) ={:{(cos""(1)/(x)", "x ne 0),(" "1", " x= 0):},

Discuss the continuity of f(x) ={:{(cos""(1)/(x)", "x ne 0),(" "1", " x= 0):},

Discuss the continuity of f(x) ={:{((sin^2 2x)/(x^2)", "x ne 0),(1", " x= 0):}, at x=0.

Discuss the continuity of f(x) ={:{((sin^2 2x)/(x^2)", "x ne 0),(1", " x= 0):}, at x=0.

Discuss the continuiy of the function f(x)={(1/x ", " x ne 0),(1", " x=0):} at x=0.

Discuss the continuity of the function f(x) = {{:( (sin x)/x",", if , x lt 0),( (x+1)",", if , x ge 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 .

Discuss the continuity of f(x)={(x-a)sin(1/(x-a)),\ \ \ x!=a\ \ \ \ \ \ \ \ \ \ \ \ 0,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=a at x=a

Discuss the continuity of f(x)={(x-a)sin(1/(x-a)),\ \ \ x!=a\ \ \ \ \ \ \ \ \ \ \ \ 0,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=a at x=a