Evaluate the following limits. If you use L'Hopital's Rule, indicate on your paper that you have...
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
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
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
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
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)
Evaluate the limit using L'Hospital's rule e - 1 lim 10 sin(72) 38 Preview x/7 Evaluate the limit using L'Hospital's rule if necessary sin(6x) lim 1+0 sin(12.) Preview Get help: Video Points possible: 1 This is attempt 1 of 5. וכפטנט Du Evaluate the limit using L'Hopital's rule 523 lim e41 Preview Get help: Video Points possible: 1 This is attempt 1 of 5. Submit
Use series representation(s) to evaluate the following limit (You may not use L'Hopital's rule). . X – 1 (Hint : ln(x) = ln(1 + (x – 1)]). x+1 ln(x) lim
3) Use L'Hopital's Rule to evaluate and check your answers numerically: - sin x (a) lim x+0+ х 1 (b) lim X-70
1. (2 points) Use l'Hopital's Rule to evaluate the following: (a) lim 1-0 (sin x) - x 1-1 In x lim (b) lim In(Inx)