Proof Suppose that and are series with positive terms. Prove that if and diverges, also

Chapter 9, Problem 60

(choose chapter or problem)

Proof Suppose that \(\Sigma a_{n}\) and \(\Sigma b_{n}\) are series with positive terms. Prove that if \(\lim _{n \rightarrow \infty} \frac{a_{n}}{b_{n}}=\infty\) and \(\Sigma b_{n}\) converges, \(\Sigma a_{n}\) also converges.

Text Transcription:

Sigma a_n

Sigma b_n

lim_n rightarrow infinity a_n/b_n=infinity

Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.

Becoming a subscriber
Or look for another answer

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back