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Use series representation(s) to evaluate the following limit (You may not use L'Hopital's rule). . X...
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
Question 9 Use L'Hopital's Rule to evaluate the limit. ex -x-1 lim 22 X -> 0 Upload Choose a File
a.) Use L'Hopital's Rule to evaluate [Hint: Consider ln L.] b) Determine the convergence of L = lim (1--)r We were unable to transcribe this image
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
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)
x-2 (No estimation, no l'Hopital's rule) 3. Use limit techniques from Chapter 1 of the text to evaluate lim 1+2 4x+1-3
Z equals 62 Task 2: Answer the following: a. Evaluate the following limit using L'Hopital's Rule: (10 Marks) lim In(cos(y)) y-6 Zy2
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
(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....