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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

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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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