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First Three Terms - Calculus - Quiz, Exercises of Calculus

Aliah UniversityCalculus

This is class quiz. Its from Calculus class. Some key points are: First Three Terms, Sequence, Calculators, Notes, Limit, Explain, Partial Sums

Typology: Exercises

2012/2013

Uploaded on 03/16/2013

ranga
ranga 🇮🇳

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NAME:
Math 106 - Quiz 7 - November 13, 2006
Instructions: Show all of your work and circle your final answers. Calculators are allowed, but notes and
books are not.
1. (10 pts.) Consider the sequence {ak}∞
k=1 given by ak=k
2k.
(a) Write out the first three terms of the sequence.
(b) Find the limit of the sequence, or explain why the limit does not exist.
pf2

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NAME:books are not.Instructions: Show all of your work and circle your final answers. Calculators are allowed, but notes andMath 106 - Quiz 7 - November 13, 2006

  1. (10 pts.) Consider the sequence(a) Write out the first three terms of the sequence. {ak}∞ k=1 given by ak = 2 kk. (b) Find the limit of the sequence, or explain why the limit does not exist.
  1. (10 pts.) Consider the series (a) Write out the first three partial sums of the series.∑ k^ ∞=1 34 k.

(b) Determine whether the series converges or diverges. If it converges, find its limit.