HWset2 - (1) Sequence 2 , p 2 2 , q 2 p 2 2 ... is...

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Homework 2 NYTI set 5(review) (1) R dx 1+2 e x - e - x (2) R e 2 x 1+ e x dx (3) R ln( x +1) x 2 dx (4) R 4 x +10 x 2 x dx (5) R dx x (2+ x ) 4 (6) R 1 + e x dx NYTI set 6 (Review Limits) (1) lim x →∞ ( e - 2 x cos x ) (2) lim x →-∞ 9 x 6 - x x 3 + 1 (3) lim x →-∞ ( x + x 2 + 2 x ) (4) lim x →-∞ ( x 4 + x 5 ) (5) lim x →∞ x 3 - 2 x + 3 5 - 2 x 2 ] (6) lim x 0 sin ± 1 x ² (7) lim x 0 x sin ± 1 x ² (8) lim x →∞ x sin ± 1 x ² (9) lim x →∞ ± x x 2 + 1 ² (10) lim x 0 x 2 + 2 x | x | NYTI set 7 Do the sequences converge? (1) ³ ln n n ´ , (2) { ne - n } NYTI set 8
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Unformatted text preview: (1) Sequence 2 , p 2 2 , q 2 p 2 2 ... is monotonically increasing and bounded above. Find the limit of the sequence. NYTI set 9 (1) X n =1 (1 / 2) n-1 (2) X n =3 (-5 / 4) n 1 (3) X n =1 5 4 n (4) X n =1 e n 3 n-1 (5) X n =1 n 2...
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HWset2 - (1) Sequence 2 , p 2 2 , q 2 p 2 2 ... is...

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