For the following telescoping series, find a formula for the nth term of the sequence of partial sums (S.). Then evaluate lim S, to obtain the value of the series or state that the series diverges. n00 E (VK+5 - Vk+4) k= 1 A formula for the nth term of the sequence of partial sums is S, = (Type an exact answer, using radicals as needed.) Evaluate lim S, or state that the series diverges. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. n-00 lim S, = n-00 (Type an integer or a fraction.) OA. O B. The series diverges.
For the following telescoping series, find a formula for the nth term of the sequence of partial sums (S.). Then evaluate lim S, to obtain the value of the series or state that the series diverges. n00 E (VK+5 - Vk+4) k= 1 A formula for the nth term of the sequence of partial sums is S, = (Type an exact answer, using radicals as needed.) Evaluate lim S, or state that the series diverges. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. n-00 lim S, = n-00 (Type an integer or a fraction.) OA. O B. The series diverges.
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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Transcribed Image Text:For the following telescoping series, find a formula for the nth term of the sequence of partial sums (S.). Then evaluate lim S, to obtain the value of the series or state that the series diverges.
n00
E (VK+5 - Vk+4)
k= 1
A formula for the nth term of the sequence of partial sums is S, =
(Type an exact answer, using radicals as needed.)
Evaluate lim S, or state that the series diverges. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
n00
lim S, =
(Type an integer or a fraction.)
OA.
n-00
O B. The series diverges.
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