Question

(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. lim x=0 1 – cos(ax) x3 + 4x2 = lim (No Response) 00 = lim (No Response) 00 = (No Response)

Answer 1

olim x² +2-15 x3 cos(x-3) -1 Apply Thus, we can apply L Hospital ruke, L Hospital pule lima (2²+206-15) the cosce-39 -] 23 dae tim zat2 *9> -since-33.(003) an lim X=3 are t2 sin (2-37*! Apply Limit 2x3 +2 sino 2 lim x3 en? ze 20 a form Thus, we can apply L-Hospital sule. lim 223 ndoo ne ? Apply LHospital rule 7 lim das en an d en² den - lim 342 270o zre e 22 lim sre so form xa zena O Apply L Hospital sule,

- tim a 700 a 30 oli a zena - lim as 2x2ae Appoly Limit lim t>3 t2-3 t-3 Lim Apply = co, o form o be lim 1-cos(as) s >o x3+4212 Apply L Hospital sale, lim d (locos(ar)) d (x3 +4222) dhe lim i sincares no 302 & 820 Apply L- Hospital rule-

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