3. (5pts each)Assume that a and b are constants. Evaluate each limit (MUST SHOW WORK!). If...
explain clearly please Problem 3 (6 points each). Evaluate the following limits algebraically, showing all work. If the limit does not exist, then write DNE and explain why it does not exist. You may use L'Hospial's rule but if you do you must specify that you have done so. (a) lim (e-2x + 2 tan-? (3.)) (5) limun (2+1) (c) lim a tan (1/1)
Use Taylor polynomials to evaluate the limit. e-3x – 1 7) lim X0 х sin 2x - sin 4x 8) lim x>0 х
just number 16 15-42 Find the limit or show that it does not exist. 1 x2 3x 15. lim 2 16. lim 3 x00 x x +1 2x+ 1 ズ→00 4x3 6x2- 2 x-2 17. lim 18. lim x21 2x3 4x 15-42 Find the limit or show that it does not exist. 1 x2 3x 15. lim 2 16. lim 3 x00 x x +1 2x+ 1 ズ→00 4x3 6x2- 2 x-2 17. lim 18. lim x21 2x3 4x
Show work so I can learn, thanks! Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 - 1 lim x →1 V x 1
Find the limit of the rational function (a) as x and (b) as x -00 f(x)= * 6x5 + 3x4 -1 4x3 - 6x+ 2 a. lim | 6x + 3x - 1) X+0 4x - 6x + 2 (Simplify your answer.) (6x + 3x²-1) b. lim x+-50 4x'- 6x+2) (Simplify your answer.) Enter your answer in each of the answer boxes.
7. Evaluate each of the following limits. tan x e-4x -e 4x a) lim x0 2x b) lim XOCOS X+1
2. Evaluate (by SHOWING YOUR WORK!) the following limits. If the limit does not exist, write "does not exists": (a) (5 points) (You CANNOT use DE L'HOPITAL's RULE!!) 1 – cos(x). lim 20 x2 (b) (5 points) You CAN use DE L'HOPITAL's RULE!!) In(1+6x) lim 10 2
hw help Question 1 For the following limit, choose the correct answer. x2 + 4x - 7 lim X 00 e 4x + 6 Does L'Hospitals Rule apply to this problem? If so, why? No. Yes. Indeterminate form olo Yes. Indeterminate form For the following limit, choose the correct answer. x² + 4x - 7 lim e 4x + 6 After applying L'Hospital's Rule once, what will you get? 2x + 4 lim O 4 e4x + 6 x² lim...
2. Evaluate (by SHOWING YOUR WORK!) the following limits. If the limit does not exist, write "does not exists": (a) (5 points) (You CANNOT use DE L'HOPITAL'S RULE!!) lim 1 - cos(x). 1-0 .22 (b) (5 points) You CAN use DE L'HOPITAL'S RULE!!) In(1 +6x) lim 2-0 C
Evaluate the following limits. If you use L'Hopital's Rule, indicate on your paper that you have done so. If a limit is oo or - 0, then write oo or -oo. You may write DNE for does not exist. x² – 1 a.) lim Preview 7+1 In 4.q7 = - b.) lim 1+ I-4 2 – 3. - 4 Preview et -1 c.) lim 1+0 - sin(4x) Preview d.) limsin 4x = Preview Preview