Find the limits.
f(x)=2 x²-3 x+3, _______ g(x)=\sqrt[3]{x+3}
(a) \lim x → 2 f(x)=
(b) \lim x → 5 g(x)=
(c) \lim x → 2 g(f(x))=
2. For the function f(x)= (2x² – 3, x>2 19-2x, x<2 find the limits or explain why they do not exist. (a) lim f(x) 1-2+ (b) lim f(x) (e) lim f(x) X2
Given that lim f(x) = 3, lim g(x) = 0, and lim h(x) = 5, find the limits that exist. Enter DNE if the limit doesn't exist help (limits) (a) lim f(x) + h(x)] = 8 (b) lim{f(x)} = 9 (c) lim yh(x) = 5^(1/3) help (limits) !!! help (limits) help (limits) In help (limits) help (limits) f(3) (2) (9) lim !!! help (limits) 3-a g(x) 2f(x) !! help (limits) h(x) - f(x)
2.3 Finding Limits Analytically: 3. X + 6 Example. For g(x) find x2 – 36' 1. lim g(x) 20 2. lim g(x) 0-6 Suppose lim f(x) = 4, lim g(x) = 5 and lim h(x) = 8. 4. 2+2 2+2 2+2 a) lim f (2) - g(2) h(x) -2 b) lim (6 f(x)g(x) + h(x)) 1-2
Suppose that lim tex) = and lim g(x) = - . Find the following limits. x2 a. lim [f(x) +5g(x)] X2 b. lim [f(x)g(x)] c. lim [2f(x)g(x)] f(x) d. lim X 2LX) - g(x) X- 2 lim [f(x) + 5g(x)] =D (Type an integer or a simplified fraction.) lim [f(x)g(x)] = X- 2 (Type an integer or a simplified fraction.) lim [2f(x)g(x)] = X-2 Suppose that lim f(x) = and lim g(x) = - X2 X2 . Find the following...
f(x) 12. If lim z = 5, find the following limits. (m) lim f(x) (b) lim
solve d-f Find the limits and show your work. Use L'Hospital's Rule where appropriate. (a) lim-0 tan 3.0 2.2 1 (b) limu+0+ In(X) (c) limx→ In(x + 3) – In(3x + 2) (d) limz+ x sin(5) (e) lim.+ 22-45 4" +3: (f) limo (#2) (g) lim + (e+ + a)*
6) If lim f(x)=L and lim g(x)= M, then find: a) lim(/(x)+g(x)) b) lim 7) Sketch one possible graph of a function that satisfies the conditions, f(2)=5 lim f(x)=1 lim f(x)=5 8) fx+8 if x 50 Let f be the function defined by: f(x)={x2-5 if x > 0 a) Find: lim f(x) b) Find: lim f(x) c) Find: lim f(x) 9) Find each of the following limits. band a) lim b) lim
3. Evaluate the limits x-2 (a) lim 2 (c) lim x-,2x2 +2 ?- (b) lim 2 im 2x +4 (d) Given f(x)x1 -1<x s 2 3-?
Q3. Find the following limits: x1 x+1 (b) lim (c) lim X-3 X-2
1. (10 points) Find the following limits, if they exist. a) lim X+2 x 7.-3+ x +3 b) lim XCSCX x → 211