You must use section 6.2 onwards of Stewart's book Stewart 7 edition to solve the following exercise. Determine if the following sequences are convergent or divergent, if convergent, establish their limit. a) an=√1, an+1=√1+an, ∀n>=1 b) a1=1, an+1=3-1/an, ∀n >=1. c) an=n sin(n)/n2+1

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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3. You must use section 6.2 onwards of Stewart's book Stewart 7 edition to solve the following exercise.

Determine if the following sequences are convergent or divergent, if convergent, establish their limit.

a) an=1, an+1=1+an, ∀n>=1

b) a1=1, an+1=3-1/an, ∀n >=1.

c) an=n sin(n)/n2+1

c) an = √₁, an+1 = √/1 + an, \n > 1.
d) a₁ = 1, an+1 = 3 ->
n
sin(n)
n²+1
e) an =
Transcribed Image Text:c) an = √₁, an+1 = √/1 + an, \n > 1. d) a₁ = 1, an+1 = 3 -> n sin(n) n²+1 e) an =
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