If `f(x)={{:("x sin"(1)/(x)",",xne0),(k",",x=0):}` is continuous at x=0, then the value of k is

If f(x)={{:((1-cosx)/(x)",",x ne0),(k",",x=0):} is continuous at x=0 , then the value of k is

If f(x){{:((sqrt(4+x)-2)/(x)",",xne0),(k,","x=0):} is continuous at x =0 , then the value of k is

Select the write the most appropriate answer from the given alternatives in each of the following : {:(f(x)(sin5x)/(3x)",",xne0),(=k",",x=0.):} If f is continuous at x=0, then the value of k is

If f(x)={(x^(k) sin((1)/(x))",",x ne 0),(0",", x =0):} is continuous at x = 0, then

If f(x)={((3 sin pi x)/(5x)"," , xne 0),(2k",", x =0):} is continuous at x = 0, then the value of k is equal to

The function f(x)={{:(sinx/x+cosx", if "xne0),(k", if "x=0):} is continuous at x = 0, then the value of 'k' is :

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