If `f(x)={((sin 5x)/(x^(2)+2x)",", x ne 0),(k+(1)/(2)",", x =0):}` is continuous at x = 0, then the value of k is

If f(x)={((sin5x)/(x^(2)+2x),"when "x ne 0),(k+(1)/(2),"when "x =0):} is continuous at x=0, then the value of k is-

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

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

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

If the function f(x)={((1-cosx)/(x^(2))",","for "x ne 0),(k,"for " x =0):} continuous at x = 0, then the value of k is

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

If f(x)={overset((sin^(5x))/(x^(2)+2x),xne0)underset(k+(1)/(2),x=0) is continuous at x = 0 then the value of k is...

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