[" Homework Questions "],[" 1.Exanine the function "f(x)={[(x-|x|)/(x),x!=0],[2.,x=0]" for continuity at "x=0]

Show that the function f(x)=(x)/(1+e^(1//x),x ne 0, f(0)= 0 is continuous at x = 0

Show that the function f(x)={{:((sinx)/(x)+cosx", if "x!=0),(2", if "x=0):} is continuous at x=0 .

If the function f(x)=(sin10 x)/x , x!=0 is continuous at x=0 , find f(0) .

If the function f(x)=(sin10 x)/x , x!=0 is continuous at x=0 , find f(0) .

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

The function f(x)={[(1-cos x)/(x^(2)),,x!=0],[(1)/(2),,x=0] ,at x=0 is continuous or not?

Examine the continuity of the function f(x)={{:((|sinx|)/(x)", "x!=0),(1", "x=0):} at x=0

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

Discuss the continuity of the function f(x)={:{((|x|)/(x)", if "x!=0),(0", if "x=0):}" at "x=0 .

The value of the function f at x=0 so that the function f(x)=(2^(x)-2^(-x))/(x), x ne0 , is continuous at x=0 , is