The function f(x) = |x| + |x-1| + |x-2| is continuous but not differentiable at for all x `in` R x=-1 and x=1

Let f(x) =int_0^1|x-t|t dt , then A. f(x) is continuous but not differentiable for all x in R B. f(x) is continuous and differentiable for all x in R C. f(x) is continuous for x in R-{(1)/(2)} and f(x) is differentiable for x in R - {(1)/(4),(1)/(2)} D. None of these

Show that the function f(x) = {:{(x^n sin(1/x), x ne 0),(0, x = 0):} is continuous but not differentiable at x= 0.

True or False : The function f(x) = |x-1| is a continuous function.

Show that the function f(x) = |x-1| +1| for all x in R , is not differentiable at x = -1 and x =1

Let f(x)= sin^(-1)((2x)/(1+x^2))AAx in R . The function f(x) is continuous everywhere but not differentiable at x is/ are

Show that the function f(x) = |x + 1| + | x - 1| is continuous at x = -1 , x = 1

Show that the function 'f' given by: f(x) = |x| + |x-1|, x in R is continuous both at x = 0 and x=1

Prove that the function f given by f(x) = |x-1|, x in R, x=1 is not differentiable at x = 1.