[" (1) Davere that "f(x)=x|x|" is not dorivalle "],[" at "x=0" lust continuous at "x=0" ."]

Prove that f(x)=|x| is continuous at x=0

Show that f(x)=|x| is continuous at x=0

Show that f(x)=|x| is continuous at x=0

Prove that f (x) =|x| is continuous at x =0

[" If "f(x)=(x)/(sqrt(x+1)-sqrt(x))" be a real valued function "],[" then: "],[0" f(x) is continuous,but "f'(0)" does not "],[" exist "],[" O "f(x)" is differentiable at "x=0],[" O "f(x)" is not continuous at "x=0],[" (x) is not differentiable at "x=0]

Show that f(x) = x sin ((1)/(x)), x ne 0 , f(0) = 0 is continuous at x = 0

Let f(x) = (x+|x|)/x for x ne 0 and let f (0) = 0, Is f continuous at 0?

Show that f(x)=|x| is continuous at x=0 but not deferentiable at x=0 .

Let f(x)=[x], where [.] is the greatest integer fraction and g(x)=sin x be two valued functions over R. Which of the following statements is correct? (a) Both f(x) and g(x) are continuous at x=0 (b) f(x) is continuous at x=0, but g(x) is not continuous at x=0. (c) g(x) is continuous at x=0, but f(x) is not continuous at x=0. (d) Both f(x) and g(x) are discontinuous 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