दर्शाइए कि फलन
`f(x)={{:(x^(3)+3", if " xne0),("1, if " x=0):}`
`x=0` पर संतत नहीं है।

f(x)={{:((sin2x)/(5x)",when "xne0),(m", when "x=0):} at x = 0

If f(x)={{:(xsin((1)/(x))", if "xne0),(0" , if "x=0):} then at x=0 the function f is

f(x)={(x^2 sin (1/x), xne0 ),(0, x=0):} at x=0

f(x) ={{:((x)/(2x^(2)+|x|),xne0),( 1, x=0):} then f(x) is

f(x)={{:(sinx/x", " xne0),(k-1", " x=0):} is continuous at x = 0, then 'k' is :

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

Determine if f defined by : f(x)={{:(x^(2)"sin"1/x", if "xne0),(0", if "x=0):} is a continuous function ?

Discuss the continuity of the function : f(x)={{:((1-cosx)/x^(2)", "xne0),(1", "x=0):} at x = 0.