A+ Answers

Discrete Review

1.   Prove or disprove

            A. The difference of any two odd integers is odd.

            B. An odd integer minus an even integer is odd.

2.   Do a proof by mathematical induction using the four steps below that the following statement is true for every positive integer n.

            A. Show that the base step is true:

            B. What is the inductive hypothesis?

            C. What do we have  to show?

            D. Proof:

3.   Do a proof by mathematical induction using the four steps below that the following statement is true for every positive integer n.

            A. Show that the base step is true:

            B. What is the inductive hypothesis?

            C. What do we have  to show?

            D. Proof:

4.   Prove using mathematical induction that  is divisible by 7 for all .

            A. Show that the base step is true:

            B. What is the inductive hypothesis?

            C. What do we have  to show?

            D. Proof:

Calculus Review

1.   Find the limit:

2.   Find the limit:

3.   Find the limit:

4.   Find the limit:

5.   Write the equation for each asymptote for:

6. Find the limit of