f(x)={[(sin2x)/(x)," if "x!=0" at "x=0],[2," if "x=0]

Examine the continuity of the following functions at indicated points. f(x)={((sin2x)/x if xne0 at x=0),(2 if x=0):}

Find the point of discontinuity of the function f(x)={:{((sin2x)/(x)", if "xlt0),(x+2", if "xge0):}

Is f defined by f(x)={{:((sin2x)/(x),"if "xne0),(1,"if "x=0):}" continuous"0 ?

Discuss the continuity of the function f(x)={((sin2x)/(3x),; x!=0), (3/2,; x=0):} at x=0.

Is f defined by f(x) = {((sin 2x)/x, if x != 0),(1, if x = 0):} continuous at 0?

Check the continuity of the function ‘f defined by f(x)= {{:((sin2x)/(x),if x ne 0),(1,if x=0):} at x=0

For what value of k, the function f(x)={{:((sin2x)/(x)", "x!=0),(k", "x=0):} is continuous at x=0 ?