Question
Asked Nov 14, 2019
4 views
Determine whether the series is convergent or divergent.
en
n1
convergent
divergent
If it is convergent, find its sum.
help_outline

Image Transcriptionclose

Determine whether the series is convergent or divergent. en n1 convergent divergent If it is convergent, find its sum.

fullscreen
check_circle

Expert Answer

Step 1

According to ratio test ,the sum of series, a(n) from 1 to infinity converges or diverges according to the following condition.

help_outline

Image Transcriptionclose

Ja(n+1) lim a(n) <1, series converges a(n+1) a(n) 1, series diverges lim a(n+1) = 1, no conclusion lim

fullscreen
Step 2

Identify the function,

help_outline

Image Transcriptionclose

a(n)= n

fullscreen
Step 3

Substitute the function a(n) in t...

help_outline

Image Transcriptionclose

1 a(n+1)| (n+1) lim e" lim a(n) (n) |(n+1)'e° +1 = lim n lim lim 6 1+

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.