Find the value of a for which the following function is continuous at a given point. `f(x)={xsin(1/x ),\ x!=0 and a ,\ x=0`

Find the value of a for which the following function is continuous at a given point. f(x)={x+a ,\ x 3

Find the value of a for which the following function is continuous at a given point. f(x)={(1-cosx)/x ,\ x!=0a ,\ x=0a t\ x=0

Find the value of a for which the following function is continuous at a given point. f(x)={(cos x)^(1/x),\ x!=0a ,\ x=0a t\ x=0

Find the value of a for which the following function is continuous at a given point. f(x)={(1-cos4x)/(x^2),\ w h e r e\ x 0

Find the value of a for which the following function is continuous at a given point. f(x)={("sin"[x])/([x+1]),\ for\ x >0(cospi/2[x])/([x]),\ for\ x<0\ a t\ x=0,\ \ a ,\ a t\ x=0 where [x] denotes the greatest less than or equal to xdot

Find the value of the constant k so that the given function is continuous at the indicated point: f(x)={k(x^2+2),\ \ \ if\ xlt=0 3x+1,\ \ \ if\ x >0 at x=0 .

Does there exists value of f(0) such that the following function becomes continuous at the origin f(x)={x/(|x|), x!=0

Find the value of the constant k so that the given function is continuous at the indicated point: f(x)={k(x^2-2x),\ \ \ if\ x<0cosx ,\ \ \ if\ xgeq0 at x=0

Find the values (s) of k so that the following function is continuous at x=0 f(x ) = {{:( (1- cos kx )/( x sin x ) , " if " x ne o),( 1/2, I f x=0):}