Which of the following is true? А. lim Ax) =- and lim fx)=-0 x→ 3- x → 3* В. lim f(x) = -00 and lim f(x)= ∞ x→ 3- x → 3* С. lim f(x)= ∞ and lim Ax)= -∞ x → 3 x → 3* D. lim Ax)= 0 and lim f(x)= 0 x → 3 x→ 3*

Match the correct boxes limx→2- f (x) = 8 and limx→2+ f (x) = 8 limx→2- f (x) = 6 and limx→2+ f (x) limx→2– ƒ (x) = 6 and limx- ¹x→2+ f (x) = ← →QX = 8 6 limx→2- f (x) = 8 and limx→2+ ƒ (x) = 6 IIII :: limx→2 f (x) = 6 :: limx→2 f (x) = DNE :: lim 2 f (x) = undefined :: limx→2 f (x) = 8 :: limx→2 f (x) = ∞ 5 6 7 8 9 10 11 12 13 14 BI Next ►

1. Find the following limits: и7—4u5-6и? +14и (1) lim и-о 2и7+4u6+17u2 х2-3х-10 (2) lim X→-2 х+2

3.) Let f(x) - 3 - x, x 2. 2 OF JOS @ y Fnie 1 3 0 y=3-x 701 2 y=1/3+1 4 ob a. Find lim,2+ f(x) and limx→2-f(x). X→ 10 25 > X 11 200 will word wo b. Does limx→2 f(x) exist? If so, what is it? If not, why not? c. Find limx→4- f(x) and limx-4+ f(x). d. Does lim,-4 f(x) exist? If so, what is it? If not, why not?

The function / Is defined by S(x) = 9-x x² - a (a) Evaluate lim,ra Sx) supposing a + b. Again, no using l'Hôpital's Rule, even if applicable. (b) Evaluate lim, S(x) supposing a = b. Again, no using l'Hôpital's Rule, even if applicable.

Let f(x) = 9x² - 4x + 8. Determine f(a+h). Simplify completely. f(x+h) = Determine f(x+h)-f(x) h f(x+h)-f(x) h Determine lim h→0 f'(x) =lim h→0 f'(3) . Simplify completely. f(x+h)-f(x) h Determine the slope of f at x = 3. f(x+h)-f(x) h . Simplify completely.

Match the correct boxes lim-3- f (x) = 4 and limx→3+ f (x) = 4 lim-3-f(x) = 2 and limx→3+ f (x) = 4 lim 3-f(x) = 2 and limx→3+ f (x) = = 2 lim 3- f (x) = 4 and limx→3+ f (x) = 2 :: limx→3 f (x) = 2 :: limx→3 f (x) = DNE IIII :: limx→3 f (x) = undefined :: limx→3 f (x) = 4 :: limx→3 f (x) = ∞

4. Find lim x→-5 x² + 2x - 15 (x + 2)²-9