hw7 - a n and b n to diverge, but for a n b n to converge....

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
CALCULUS 1501 WINTER 2010 HOMEWORK ASSIGNMENT 7. Due March 5. 7.1. Find the values of p for which the series is convergent: s n =2 1 n (ln n ) p . 7.2. Determine whether the series converges or diverges. (i) s n =1 n + 3 3 n 7 + n 2 + 1 (ii) s n =1 e 1 /n n (iii) s n =1 n ! n n 7.3. Show that if a n > 0 and a n is convergent, then ln(1 + a n ) is convergent. 7.4. Give an example that shows that it is possible for both
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: a n and b n to diverge, but for a n b n to converge. 7.5. If a n and b n are both convergent series with positive terms, is it true that a n b n is also convergent? Justify your answer. 1...
View Full Document

Ask a homework question - tutors are online