1. Use a calculator to estimate the limits: a)Lim 3x – sin x x  0 x b)Lim 1 – sin x x  π/2 1 + cos 2x

2. Use the graph of the function to determine the limit. Lim f(x) X  0 Lim f(x) X  1

3. In the following assume that lim f(x)=5 and lim g(x)=-2 x  3 x  3 a)Lim f(x)g(x) – 2f(x) x  3 [g(x)] 2 b)Lim √f(x) – 2g(x) x  3 f(x) + g(x)

4. Find the limit if it exists. a) Lim x² - 1 x  1 x²-3x +2 b) Lim x² - x – 6 x  -2 x² + x – 2 c)Lim √1+x - 1 x  0 x

5. Find the limit if it exists, if it doesn’t explain why. a) Lim √1 + x – 1 x  0 B) Lim x² - 2x -3 x-->2 x² - 6x +9

6. Find the following limits: Lim (√7 - x² + 6x + 2) X  7- Lim ( √x- 1 + 3 ) X  1+

7. In the following determine whether the function whose graph is given is continuous at x = -3 and x=2 a) b)

8. Show that f(x) = x² - x- 6 has the following traits: x²-9 a)Continuous at x = 2 b)Discontinuous at x = 3

9. Find the limit of the following: a)Lim 2x³ -3x² + 5x -1 x  ∞ 4x³ + 2x²-x + 10 b)Lim 4 – 3x – 2x² x  - ∞ x³ + 2x + 5 c)Lim (2x+1 + 4x-1) x  - ∞ x-3 3x