Now we have the following. (If an answer does not exist, enter DNE.) 15 3+ 15n? lim lim n- nn+ 13n n- on 1 -+ 13 + 15 + 13

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
Determine whether the sequence converges or diverges. If it converges, find the limit.
3 + 15n2
n+ 13n2
Step 1
3 + 15n2
To find lim
divide the numerator and denominator by the highest power of n that occurs in the
n- n n+ 13n
fraction. This is n
Step 2
Dividing numerator and denominator by n, we have
3
3+ 15n2
3+ 15n?
lim
= lim
lim
n- n+ 130
13
n- n n+ 13n
Step 3
Now we have the following. (If an answer does not exist, enter DNE.)
3
3 + 15n
+ 15
lim
n-nn+ 13n
lim
n- on
+ 13
+ 15
+ 13
Transcribed Image Text:Determine whether the sequence converges or diverges. If it converges, find the limit. 3 + 15n2 n+ 13n2 Step 1 3 + 15n2 To find lim divide the numerator and denominator by the highest power of n that occurs in the n- n n+ 13n fraction. This is n Step 2 Dividing numerator and denominator by n, we have 3 3+ 15n2 3+ 15n? lim = lim lim n- n+ 130 13 n- n n+ 13n Step 3 Now we have the following. (If an answer does not exist, enter DNE.) 3 3 + 15n + 15 lim n-nn+ 13n lim n- on + 13 + 15 + 13
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