Find a formula for the nth partial sum of the series and use it to determine if the series converges or diverges. If the series converges, find its SL ∞ Σ (In √/n+1-in √/n) n=1 Sn = (Type an exact answer, using radicals as needed.) If the series converges, what is its sum? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The sum of the series is (Type an integer or a fraction.) OB. The series diverges.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Find a formula for the nth partial sum of the series and use it to determine if the series converges or diverges. If the series converges, find its sum.
∞
Σ (In √/n+1-In √n)
n=1
I
Sn =
(Type an exact answer, using radicals as needed.)
If the series converges, what is its sum? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The sum of the series is (Type an integer or a fraction.)
OB. The series diverges.
Transcribed Image Text:Find a formula for the nth partial sum of the series and use it to determine if the series converges or diverges. If the series converges, find its sum. ∞ Σ (In √/n+1-In √n) n=1 I Sn = (Type an exact answer, using radicals as needed.) If the series converges, what is its sum? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The sum of the series is (Type an integer or a fraction.) OB. The series diverges.
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