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

Show that the functions f(x) given by f(x)={x(sin1)/(x),quad x!=00,quad x=0 is continuous at x=0

Show that the function f(x) given by f(x)={(xsin(1/x),x!=0),(0,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

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

Show that the function f given by f(x)={x^(3)+3 if x!=0quad 1 if x=0 is not 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 .

Show that the function f given by f(x)= {{:(x^2+2," if "x ne 0),(1," if "x=0):} is not continuous at x=0.

Show that the function f given by f(x)= {{:(x^3+3," if "x ne 0),(1," if "x=0):} is not continuous at x=0.

Show that the function f given by f(x)= {{:(x^3+3," if "x ne 0),(1," if "x=0):} is not continuous at x=0.