[" 7.For what value of "k" ' the function is "],[" continuous at "x=0" ? "],[f(x)={[(sin5x)/(3x)+cos x,," if "x!=0],[k,," if "x=0]]

For what value of k is the function f(x) = { k|x|/x, x =0 continuous at x = 0 ?

For what value of k is the function f(x)={k(|x|)/(x),x =0 continuous at x=0?

Find the value of k so that the function f defined below is continuous at x=0 f(x)={[(sin2x)/(5x)",",x!=0],[k",",x=0]:}

Find the value of k, so that the function is continuous at x=0f(x)={(1-cos4x),x!=0;k,x=0

(a) Determine the value of k so that the following function f(x) is continous at x=0 f(x)={((sin2x)/(x)" , if "xne0),(k" , if "x=0):} (b) Determine k, if the following function is continuous at x=0: f(x)={((sin3x)/(4x)" , "xne0),(k" , "x=0):} (c) Determine k so that the following function f(x) is continuous at x=0 f(x)={((sin5x)/(3x)" , "xne0),(k" , "x=0):}

Determine the value of k so that following functions are continuous at x = 0 f(x) = {{:((sin 2x)/(x)"," ,"if " x != 0),(k",","if " x = 0):}

For what value of k, function f (x) is continuous at x = 0 where f(x) ={((1-cos 4x)/(x^2)),(k):}, ((x ne 0),(x =0))

For what value of k, function f (x) is continuous at x = 0 where f(x) ={((1-cos x)/(x^2)),(k):}, ((x ne 0),(x =0))

Determine, k if the following function is continuous at x = 0 f(x) = {{:((sin 3x)/(4x), x != 0),(k,x = 0):}