(a) For each of the following, determine if L'Hopital's Rule applies. lim * x2+2x–15 cos(x-3)-1 (No...
Question 9 Use L'Hopital's Rule to evaluate the limit. ex -x-1 lim 22 X -> 0 Upload Choose a File
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
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)
just number 16 15-42 Find the limit or show that it does not exist. 1 x2 3x 15. lim 2 16. lim 3 x00 x x +1 2x+ 1 ズ→00 4x3 6x2- 2 x-2 17. lim 18. lim x21 2x3 4x 15-42 Find the limit or show that it does not exist. 1 x2 3x 15. lim 2 16. lim 3 x00 x x +1 2x+ 1 ズ→00 4x3 6x2- 2 x-2 17. lim 18. lim x21 2x3 4x
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
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
Evaluate the following limits: x2 +7x - 14 a) lim 2x-5 b) lim tan(3x) - X = c) lim X+0 4x2-3r d) lim a "270 3x - 3xcos(2x) 2x2 sin(3x)
Evaluate the limit, using L'Hôpital's Rule if necessary. x3 lim X-00 9eX/5 Step 1 +3 The limit to be evaluated is lim ** 9ex/5 By direct substitution we have the following. *3 lim x 9ex/5 Thus, the direct substitution results in --Select-- form. Submit Skip (you cannot come back)
note: Z=10 (10 Marks) a. Evaluate the following limit using L'Hopital's Rule: lim In(cos(y)) y→0 Zy2 b. Ahmed got a car loan from the Bank Muscat and he repaid (Z * 250) OMR by making 'n' equal monthly payments of 250 OMR since he received the loan amount. If the rate of interest per month is 'r', this can be represented as, 1 50(1- (Z * 250r = 250 (1 (1+r)n) If n = 60 months, using Newton-Raphson method, find...