Let f(x)=|x| and g(x)=[x]-1 , where [.] is the greatest integer function. Let h(x)= f(g(x)) g(f(x)) . What is _ x 0+ h(x) equal to?

Step-by-step solution

Since, h(x)= f(g(x)) g(f(x)) = f ([ x ]-1) g (| x |) = |[ x ]-1| [| x |]-1 Since, = _ x 0⁺ |[ x ]-1| [x]-1 = |-1| -1 =-1