1>

Let f(x)=|x-1|+x-1

(a) sketch the graph of f(x)

(b) find lim x-> -2f(x)

(c) find lim x->2 f(x)

2> Find a cutoff distance δ such that if the distance from x to 1 is less than δ and x>1, then f(x) =3x-1. approximates 2 with an error of at most 1/100