Question

Suppose an- is a decreasing sequence of non-negative numbers (that is, 0 S an+1 S an for all n) a) Show that 2K a1 + - n-1 b)

e shown that Ση.1 an conv Σ-1 2na2n converges. This is called the Cauchy Condensation Criterion.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

We have t +1 Fiom these inequaliher e get th 2. Σ@m>, a, +422na2 n ie. . b)IF Σ an、3 convergent then the conveAes bounded aboNote ha a a ence r. thin its paxHa/ Bum Σ2kq2k also convergent conve rgur swj1 2. an an bound by and henca b mon otenlc 3 e9

Add a comment
Know the answer?
Add Answer to:
Suppose an- is a decreasing sequence of non-negative numbers (that is, 0 S an+1 S an...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT