Determine whether the series ผ m=1 4 ln(2m) m² gont or divergent 1. series converges 2. series diverges

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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Determine whether the series
4 ln(2m)
m²
m=1
is convergent or divergent.
1. series converges
2. series diverges
Transcribed Image Text:Determine whether the series 4 ln(2m) m² m=1 is convergent or divergent. 1. series converges 2. series diverges
Determine whether the series
k=1
4
k In (3k)
is convergent or divergent.
O 1. Divergent by Integral Test
2. Divergent by the p-series test.
4
k→∞ k ln(3k)
3. Convergent because lim
O 4. Convergent by Integral Test
= 0
Transcribed Image Text:Determine whether the series k=1 4 k In (3k) is convergent or divergent. O 1. Divergent by Integral Test 2. Divergent by the p-series test. 4 k→∞ k ln(3k) 3. Convergent because lim O 4. Convergent by Integral Test = 0
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