{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Practice Exam 3-1

# Practice Exam 3-1 - yp968 – Practice Exam 3 – Radin...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: yp968 – Practice Exam 3 – Radin – (58415) 1 This print-out should have 23 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Determine whether the sequence { a n } con- verges or diverges when a n = (- 1) n parenleftbigg 6 n + 5 n + 3 parenrightbigg , and if it does, find its limit. 1. sequence diverges 2. limit = ± 6 3. limit = 5 3 4. limit = 0 5. limit = 6 002 10.0 points Determine whether the series 3 + 1 + 1 3 + 1 9 + ··· is convergent or divergent, and if convergent, find its sum. 1. convergent with sum = 2 9 2. convergent with sum = 2 3. divergent 4. convergent with sum = 9 2 5. convergent with sum = 1 2 003 10.0 points Determine whether the infinite series ∞ summationdisplay n =1 4( n + 1) 2 n ( n + 2) converges or diverges, and if converges, find its sum. 1. converges with sum = 2 2. converges with sum = 4 3. diverges 4. converges with sum = 1 5. converges with sum = 1 2 004 10.0 points To apply the root test to an infinite series ∑ n a n the value of ρ = lim n →∞ | a n | 1 /n has to be determined. Compute the value of ρ for the series ∞ summationdisplay n =1 parenleftbigg 2 n + 3 4 n parenrightbigg 2 n . 1. ρ = 3 4 2. ρ = 1 4 3. ρ = 1 2 4. ρ = 9 16 5. ρ = 9 4 005 10.0 points yp968 – Practice Exam 3 – Radin – (58415) 2 Determine whether the series ∞ summationdisplay n =1 (- 1) n- 1 cos parenleftBig 1 5 n parenrightBig is absolutely convergent, conditionally con- vergent or divergent....
View Full Document

{[ snackBarMessage ]}

### Page1 / 5

Practice Exam 3-1 - yp968 – Practice Exam 3 – Radin...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online