If the function `f(x) = {((sin^(2)ax)/(x^(2))","," when "x != 0),(" k,"," when " x = 0):}`is continuous at x = 0 then k = ?

If f(x) = {((sin 2x)/(5x), ",", "when" x != 0),(k, ",", "when" x = 0):} is continuous at x = 0, then the value of k will be

If f(x) = {((sin 2x)/(5x), ",", "when" x != 0),(k, ",", "when" x = 0):} is continuous at x = 0, then the value of k will be

If the function f(x) defined by {:(f(x),=x sin(1/x),",","for"x != 0),(,=k, ",","for"x = 0):} is continuous at x = 0, then k =

If the function, f(x) = {((1-cos(ax))/x^2, ; "when" x != 0), (1, ; "when" x = 0):} be continuous at x=0, then find the values of a.

If the function f(x) defined by {:(f(x),=x (sin)1/x,",","for"x != 0),(,=k, ",","for"x = 0):} is continuous at x = 0, then k =

Find the value of k for which the function f(x)= {((2x+3 sin x)/(3x+2sin x),"when " x ne 0),(4k,"when" x= 0):} is continuous at x= 0

If the function f(x)={{:((1-cos(ax))/(x^2)," when "xne0),(1," when "x=0):} be continuous at x=0, then find the value of a.

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-

Find the value of k for which the function. f (x) = {{:(((sin x +xcos x))/( x ) , " when " x ne 0 ),( k, " when" x=0 ):} " is continuous at "x=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