[" The function defined by "],[f(x)={[x sin((1)/(x))," for "x!=0],[0," for "x=0]}]

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

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

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) defined by f(x) = x sin ""(1)/(x) for x ne 0 =K for x =0 is continuous at x=0 , then k=

Let f:R rarr R be defined by f(x)={x+2x^(2)sin((1)/(x)) for x!=0,0 for x=0 then

The value of k which makes the function defined by : f(x) = {{:("sin" (1)/(x),"if",x ne 0),(k,"if",x = 0):} continuous at x = 0 is :

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 =

Determine if f defined by f(x)={{:(x sin""(1)/(x)," if "x ne 0),(0," if "x= 0):} is a continuous function?

Consider the function f:R to R defined by f(x)={((2-sin((1)/(x)))|x|,",",x ne 0),(0,",",x=0):} .Then f is :