a) lim 4f(X) = 4×8/7=32/7
b)lim[f(X)+g(X)]= lim fX)+ lim g(X)=8/7+6/7=2
c)lim f×g = limf × long= 8/7×6/7= 48/7
d)limf /king= 8/7÷6/7= 4/3
Consider the following information. 8 limf(x) = 7 6 lim g(x) Use the information to evaluate...
Assume lim f(x) = 8 and lim g(x)=6. Compute the following limit and state the limit laws used to justify the computation. limf(x)g(x) + 16 limx19(x) + 16 = (Simplify your answer.) Select each limit law used to justify the computation. D A Constant multiple B. Quotient C. Power D. Root E Product F. Difference O Sum
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
1. (8) Evaluate the following limits: (a) lim«;? () lim (6:1)".
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-?
101 8 7 6 5 4 2 r -10 -3 -6 4 10 -7 Give numeric values for each of the following. Write "DNE" if the value does not exist and "0" or "-20" as appropriate. lim f'(-8) = lim f(x) = 1() de f(3+At) - (3) lim (1) = lim A- lim f(x) - (2) 12 I-2 lim f(1) = limf(1) =
7. Evaluate each of the following limits. tan x e-4x -e 4x a) lim x0 2x b) lim XOCOS X+1
6. Use l'Hopital's rule to evaluate the following limits 1+cos (Te sin(z) (a) lim z-+0 log (-1) (b) lim 92I-2 cos(TI) (c) lim r sin Page 2 of 2 0 words
Given that lim f(x) = - 8 and lim g(x) = 7, find the following limit. x2 X2 lim [4f(x) + g(x)] X2 lim [4f(x) + g(x)] = X2 (Simplify your answer.)
1 Given lim f(x) = 5, lim g(x) = -2, and lim h(x) = 0, evaluate the limit: lim x-c f(x) - 8(x) 1-C X- X-C 1 5 b) c) d) e) does not exist
Given that lim F(x) = 0 lim g(x) = 0 lim h(x) = 1 Jim P(x) = lim (x) = .. evaluate the limits below where possible. (If a limit is indeterminate, enter INDETERMINATE.) (a) lim [fix)] lim [F(x)] X (c) lim [h(x)]04) 8 [(x)] X lim P(x)] 20 X (1) lim "P(x) X Enhanced Feedback Please try again, keeping in mind that the indeterminate cases are 0.9, 03.00,60,1", and " - .. Need Help? Read It Talk tea Tutor...