Consider the limit statement lim 3n -4n =3 n² +5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3n -4n
=3
Consider the limit statement lim
n-
n +5
1. After how many terms are we guaranteed that
3n? - 4n
is
n² +5
within a distance 0.01 of 3.
2. After how many terms are we guaranteed that the n" term
3n - 4n
of
n +5
is an accurate approximation of the limit, to
within 3 decimal places.
Transcribed Image Text:3n -4n =3 Consider the limit statement lim n- n +5 1. After how many terms are we guaranteed that 3n? - 4n is n² +5 within a distance 0.01 of 3. 2. After how many terms are we guaranteed that the n" term 3n - 4n of n +5 is an accurate approximation of the limit, to within 3 decimal places.
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