ing e-type argument, prove each of the following: ) Let {a} be a sequence such that an 0 for all nЄ N and lim an = 3. Then prove -) that an 9n lim = 3 x+u (n +1)an n k Prove that lim does not exist. no 2+(-1)"n x+2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 40E
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2. Using e-type argument, prove each of the following:
(a)
that
Let {a} be a sequence such that an 0 for all n€ N and lim an
x+2
an
In
lim
+
= 3
x+u
(n+1)an,
n
(b)
k Prove that lim
does not exist.
8+2
2+(-1)"n
=
3. Then prove
Transcribed Image Text:2. Using e-type argument, prove each of the following: (a) that Let {a} be a sequence such that an 0 for all n€ N and lim an x+2 an In lim + = 3 x+u (n+1)an, n (b) k Prove that lim does not exist. 8+2 2+(-1)"n = 3. Then prove
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