Show that a function `f(x) = {|X| when -1

Show that, the function f(x) = |x-1| is not differentiable at x = 1

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

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

Show that the function f(x)= {{:(( x^(n) -1)/(x-1)",", "when", x ne 1),( n "," , "when", x =1):} is continuous.

Show that the function f(x) = (x - 1) e^(x)+2 is strictly increasing function forall x gt 0 .

Show that the function f(x) = x -(1)/(x) is a strict increasing function fox x > 0

Show that the function f(x) ={( (sin x)/x, when x !=0),( 2, when x =0):} is continuous at each point except 0.

Show that the function f(x)={x sin((1)/(x)) when x!=0;=0, when x=0 is continuous butnot differentiable at x=0

Show that the function f (x) = (x)/(1+|x|) is a strict increasing function.