2. SYLLABUS Know, write, create, and graphically interpret limit definitions. Be able to construct epsilon-delta limit proofs for linear and quadratic functions. Evaluate limits. Follow homework assignment guide as directed.

4. The lim f(x) = L x c if for each > 0 there is a > 0 such that if 0 < then

5. Prove : 0 < |x – c| < |x – c| > 0 and |x –c| < x > c or x < c; and c - < x < c + c - c c + Deleted Neighborhood Proof

6. Prove : Neighborhood Proof

7. The lim f(x) = x c if for each M there is a > 0 such that if 0 < then f(x) > M

8. The lim f(x) = x c + if for each M there is a > 0 such that if c < x < c + then f(x) > M One Sided Limit Definition

9. The lim f(x) = x c - if for each M there is a > 0 such that if c - < x < c then f(x) > M One Sided Limit Definition

10. The lim f(x) = x c if for each M there is a > 0 such that if 0 < then f(x) < M

11. The lim f(x) = x c + if for each M there is a > 0 such that if c < x < c + then f(x) < M One Sided Limit Definition

12. The lim f(x) = x c - if for each M there is a > 0 such that if c - < x < c then f(x) < M One Sided Limit Definition

13. The lim f(x) = L x if for each > 0 there is a N such that if x > N then

14. The lim f(x) = L x if for each > 0 there is a N such that if x < N then

15. The lim f(x) = x if for each M there is a N such that if x > N then f(x) > M

16. The lim f(x) = x if for each M there is a N such that if x > N then f(x) < M

17. The lim f(x) = x if for each M there is a N such that if x < N then f(x) > M

18. The lim f(x) = x if for each M there is a N such that if x < N then f(x) < M