The value of k for which the function
`f(x)={(sin(5x)/(3x)+cosx, xne0),(k, x=0):}`
is continuous at `x=0` is

Determine the values of a , b , c for which the function f(x)={((sin(a+1)x+sinx)/(x ) ,, x 0):} is continuous at x=0

Find the value of k for which the function f(x)={{:(3x-8, if x le 5),(2k, if x gt 5) :} is continuous at x = 5

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

Show that function f(x) given by f(x)={(x sin(1/x),,,x ne 0),(0,,,x=0):} is continuous at x=0

If f(x)={((1-coskx)/(xsinx) ,, x!=0),(1/2 ,, x=0):} is continuous at x=0, find k

If f(x)={{:((5|x|+4tanx)/(x),xne0),(k,x=0):} , then f(x) is continuous at x = 0 for

The value of k for which f(x)= {((1-cos 2x )/(x^2 )", " x ne 0 ),(k ", "x=0):} continuous at x=0, is :

If f(x)={{:((sinpix)/(5x)",",x ne0),(k,","0):} is continuous at x=0 , then k is equal to

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

Show that the function f(x) given by f(x)={(sinx)/x+cosx ,x!=0 and 2,x=0 is continuous at x=0.