explain clearly please Problem 3 (6 points each). Evaluate the following limits algebraically, showing all work....
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
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
1. Evaluate (by SHOWING YOUR WORK! You CANNOT use DE L'HOPITAL's RULE!!) the following limits. If the limit does not exist, write "does not exists": (a) (5 points) 2 - 31 lim 1++ 2.12 (b) (5 points) Vr-3 lim +91-9
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
1. Evaluate (by SHOWING YOUR WORK! You CANNOT use DE L'HOPITAL's RULE!!) the following limits. If the limit does not exist, write "does not exists”: (a) (5 points) x2 - 32 lim ++ 2x2 - 1' (b) (5 points) - 3 lim 169 - 9
3. (5 points each) Evaluate the following limits or state that they do not exist ("DNE"). Use or -- if either is appropriate. Numbers alone without justification (either algebra and/or quoting theorems where applicable) will receive no credit. If you use L'Hôpital's Rule, clearly indicate when you do so. +3 (a) lim (b) lim 1.-1 cot(0) (c) lim
3. (5pts each)Assume that a and b are constants. Evaluate each limit (MUST SHOW WORK!). If it does not exist, write DNE. lim (ax)2-12 Jax+b1 a. X- a b. lim X-00 5-4x V9x2+7 C. sin(2x) tan(6x) lim x0 x sin(3x) d. lim (e-* In(x)) x-00
2. Evaluate the limit algebraically. Show all of the necessary work with the correct notation. You are being partially graded on your notation. (5 points) VX-2 lim *** 2x+1-3 2. Evaluate the limit algebraically. Show all of the necessary work with the correct notation. You are being partially graded on your notation. (5 points) VX-2 lim *** 2x+1-3
need help please. thank you tutor Indrapr 4. Limits - Computationally ITEMS SUMMARY 4. Evaluate the limit lim 2 +4 z? - 16 (If the limit does not exist, enter "DNE".) Limit
3. (5 pts. each) Evaluate the following limits if they exist. If the limit does not exist, then use the Two-Path Test to show that it does not exist. 5x²y (a) lim (x,y)=(0,0) **+3y2 (b) lim (x,y)-(1,-1) 1+xyz