4. Assume that a sequence (an) has limit L. For the given value of ε, find a natural number N, such that an - Le for all n > N: 1 an = n + √√√n with 0 and € = 10-1.
4. Assume that a sequence (an) has limit L. For the given value of ε, find a natural number N, such that an - Le for all n > N: 1 an = n + √√√n with 0 and € = 10-1.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.2: Sequences, Series And Summation Notation
Problem 48E
Question
Hi, could you answer this question and explain the principle you will use?
Transcribed Image Text:4. Assume that a sequence (an) has limit L. For the given value of ε, find a natural number
N, such that an - Le for all n > N:
1
an =
n + √√√n
with 0 and € =
10-1.
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