1. Determine the following limit. USE L'Hopital's rule if it is appropriate to use. Show why...
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
(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....
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
x-2 (No estimation, no l'Hopital's rule) [4]3. Use limit techniques from Chapter 1 of the text to evaluate lim 1+2 4x+1-3
Question 9 Use L'Hopital's Rule to evaluate the limit. ex -x-1 lim 22 X -> 0 Upload Choose a File
find the following limit using L'Hopital's Rule. (c) lim x tan (1/x) x-10
Use L'Hospital to determine the following limit. Use exact values. In a lim > 1 31n z C Evaluate the limit using L'Hopital's rule lim 8 cos( – 3x)sec(5x)
Evaluate the limit using techniques from Chapters 1 and 3 and using L'Hopital's Rule. lim x→−3 5x2 + 1x − 42 x + 3 (a) using techniques from Chapters 1 and 3 (b) using L'Hopital's Rule
For the limit lim 6-6- -09sin (3x) determine which of the following statements is true. Select the correct answer below: O L'Hopital's Rule can be applied because the limit has the form +00 O L'Hopital's Rule cannot be applied because the limit has the form. O L'Hopital's Rule cannot be applied because the function is a rational function, O L'Hopital's Rule cannot be applied because the limit has the form O L'Hopital's Rule can be applied because the limit has...
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