代做MATA31 - Assignment 3代写Web开发

MATA31 - Assignment 3 (Written)

Question 1 (10 points)

Draw the graph of a function f with domain [0, 4] and range [0, 1) ∪ [2, 4) that has all of the following properties (simultaneously):

Question 2 (10 points)

Use the ε–δ definition for limit to prove that

Question 3 (10 points)

Let c ∈ R. Suppose that f and g are functions with domain R. Use the formal definitions (i.e., ε, δ, M, N) of limits to prove the following statement:

Justify each step and do not use any limit rules in your proof.