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Math 106A Quiz 5: Fall 2011, Exercises of Calculus

Aliah UniversityCalculus

The fall 2011 quiz 5 for math 106a. The quiz includes three problems: finding the limit of a sequence, determining the convergence of a series, and proving the convergence and finding an upper bound for another series.

Typology: Exercises

2012/2013

Uploaded on 03/16/2013

ranga
ranga 🇮🇳

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Name:
Math 106A: Fall 2011
Quiz 5: November 18
Please write your final answer in the space provided. For full credit you must show your work. Good Luck!
1. Find the limit of the sequence whose kth term is given by ak=ln(2x+ 3)
ln(5x).
(1)
2. Determine whether the series converges or diverges.
∞
X
n=1
n!n!
(2n)! (2)
OVER
pf2

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Name:

Math 106A: Fall 2011Quiz 5: November 18

Please write your final answer in the space provided. For full credit you must show your work. Good Luck!

  1. Find the limit of the sequence whose kth term is given by ak = ln(2 ln(5x^ + 3)x). (1)
  2. Determine whether the series converges or diverges.∑ ∞ n= (2^ n!nn)!! (2)

OVER

  1. Show that∑ n^ ∞=1^ sin 22 n^ nconverges AND find a good upper bound for the limit of the series.