29 show that for the Otto cycle as r-1, imepP→Qin(x-1)/Pví (use l'Hopital's rule).
1. Determine the following limit. USE L'Hopital's rule if it is appropriate to use. Show why each equal sign is true! lim2lnz 18² +68-7
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
Question 9 Use L'Hopital's Rule to evaluate the limit. ex -x-1 lim 22 X -> 0 Upload Choose a File
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....
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
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
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
find the following limit using L'Hopital's Rule.
(c) lim x tan (1/x) x-10
1. Find the following limits (You are not allowed to use L'Hopital's Rule) : x2 + 3x – 108 din 22 – 81 –0 32