f(x)={[(sin2x)/(3x),,x!=0],[(2)/(3),,x=0]

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

Let f(x)={[((e^(3x)-1))/(x),,x!=0],[3,,x=0]} then 2f'(0) is

Examine the continuity of f(x) = {((sin2x)/(2x), x ne 0),(2, x = 0):} at x = 0

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

If f(x)={(sin(x^(2)-3x),xle0 6x+5x^(2),xgt0 then at x=0, f(x) is?

If f(x)={(sin(x^(2)-3x),xle0 .^x+5x^(2),xgt0

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

If function defined by f(x) = {{:((sin 3x)/(2x)"," ,x != 0),(k + 1",", x = 0):} is continuous at x = 0 , then value of k is