# hw81 - 8.1 Pages 427-428 1-21 odd 29 1 The limit is of the...

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8.1 Pages 427-428 # 1-21 odd, 29 1. The limit is of the form 0 . 0 00 2– s i n 2 c o s lim lim 1 1 xx x x →→ == 15. 3. The limit is of the form 0 . 0 2 –sin2 1–2cos2 1–2 lim lim –1 tan 1 sec x x x = The limit is of the form 0 . 0 (Apply l’Hôpital’s Rule three times.) 2 tan sec –1 lim lim sin 2 – 2 2cos 2 – 2 x x = 24 2 2 2sec tan 2sec 4sec tan lim lim –4sin 2 –8cos 2 x x x + 20 1 84 + 5. The limit is of the form 0 . 0 2 2 –2 –2 68 26 lim lim 3 –3 –10 x x ++ + = 22 77 17. 7. The limit is not of the form 0 . 0 As 1, –2 2 1 , a n d –1 0 x x →+ so 2 2 1 lim 1 x x −+ =−∞ . The limit is of the form 0 . 0 (Apply l’Hôpital’s Rule twice.) 2 000 lim lim lim sin cos sin xxx x x +++ →→→ This limit is not of the form 0 . 0 As 0, 2 2 , x + and sin 0 , x −→ so 0 2 lim . sin x x + = −∞ 9. The limit is of the form 0 . 0 3 2 1 3 sin /2 3sin cos ln(sin ) lim lim /2– x x x x x ππ π = 0 0 –1 19. The limit is of the form 0 . 0

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hw81 - 8.1 Pages 427-428 1-21 odd 29 1 The limit is of the...

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