Determine if the following sequences converge or diverge. You must justify your answers. If they converge, find the limit. You may use any test/theorems/results from the lectures, but you must precisely state which ones you are using. an = 3n · In(sin(;)+1). 1. 2n2 +(-1)"-n 2. n2 (1+ 2)" + - 3 2n n 3. Cn = n 3n •

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Determine if the following sequences converge or diverge. You must justify your answers. If
they converge, find the limit. You may use any test/theorems/results from the lectures, but you
must precisely state which ones you are using.
an = 3n · In(sin(;)+1).
1.
2n2 +(-1)"-n
2.
n2
(1+ 2)" + -
3
2n
n
3.
Cn =
n
3n •
Transcribed Image Text:Determine if the following sequences converge or diverge. You must justify your answers. If they converge, find the limit. You may use any test/theorems/results from the lectures, but you must precisely state which ones you are using. an = 3n · In(sin(;)+1). 1. 2n2 +(-1)"-n 2. n2 (1+ 2)" + - 3 2n n 3. Cn = n 3n •
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