This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: k is: (A) 16 15 . (B) 13 16 . (C) 12 15 . (D) 17 16 . (E) divergent. 9) lim x → + 3 x sin( x ) = (A) 3 e . (B) 3. (C) 6 e . (D) 6. (E) 3 e . 10) A sequence is deFned by a n +1 = 1 / (1 + a n ), a 1 = 1, n ≥ 1. Assuming this sequence is convergent, its limit is: (A) √ 31 2 . (B)√ 51 2 . (C) 1. (D) 1 2 . (E) √ 51 2 . 11) A sequence a k ( k ≥ 1) with partial sums s n ( n ≥ 1) satisFes a k > 0 and s n ≤ 5 for all k and n . Which of the following statements may be false ? (A) s n is increasing. (B) s n is bounded above. (C) a k is monotonic. (D) ∞ s k =1 a k converges. (E) s n is bounded below. 12) If ∞ s k =2 Q p 1 5 P k = 1 12 , then the value of the constant Q must be: (A) 5 3 . (B) 3 2 . (C) 4 9 . (D) 1 6 . (E) 2 5 ....
View
Full
Document
This note was uploaded on 01/27/2011 for the course M 408d taught by Professor Sadler during the Spring '07 term at University of Texas at Austin.
 Spring '07
 Sadler
 Limits

Click to edit the document details