3. Consider the function f(:2'::l = 2:2 :1: 11. In this question, your goal is to demonstrate the estimate in the limit denition of the derivative: for E = 0.2, you will nd a 5 that ensures that if the distance between :1: and 3 is less than 6, then the distance between f(:12) and your limit is less than [1.2. Make sure to show your work to explain your reasoning below. (Note: each answer below will need space for an explanation; he sure to use a fresh sheet of paper.) (a) What is lin13f(;r)'? Call that number L. :> [h) For which values of 3 would x} be between L 0.2 and L + 0.2? (Be careful to nd them all: graph the function to check your answer.)- [c) What is the largest distance 6 from 3 that ensures that for 3 :5