1. Find the following limits (You are not allowed to use L'Hopital's Rule) : x2 +...
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
Determine if the following limits have an indeterminant form, state it, and use L'Hopital's rule to compute the limit if possible. (a) limz-x++3x2–1 1 -3 (d) lim240 32° +sin(e"), (b) lime- 2 sin(3x) (e) lime-o(1 – x) tan(7), x2 – In(2/x) (f) limo+(1+2).. X-2 5.0 (c) lime+o022 –52
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
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
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
(a) For each of the following, determine if L'Hopital's Rule applies. lim * x2+2x–15 cos(x-3)-1 (No Response) lim x3 e-x2 (No Response) x → ^ lim lim t3 ? t-3 3 (No Response) Vo Resp (b) Use L'Hopital's rule to evaluate the following limit. Enter your work in the answer fields below. If a second application of the rule is required, show your calculations. If not, enter NA. Credit for a final answer will not be given without supporting calculations....
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
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. (10 pts) Evaluate limits. Apply L'Hopital's Rule when needed. (Inx) a. lim b. lim 1/(1-2) 20+
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