If the nth term of the sequence < an > is given by1n + 12n + 13n + · · + 1n2Verify if < an > is convergent. Also find the limit of sequence.
Question
Solution 1
To verify if the sequence
The nth term of the sequence is given by 1/n + 1/2n + 1/3n + ... + 1/n^2.
This is a harmonic series of the form 1/n, which is known to be divergent. However, in this case, each term is divided by an Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
Similar Questions
If the nth term of the sequence < an > is given by1n + 12n + 13n + · · + 1n2Verify if < an > is convergent. Also find the limit of sequence.
. If the nth term of the sequence < an > is given by"211 322 433· ·n + 1nn# 1nFind the limit of sequence
A sequence is given by the formula of its nth term : an =10−3n. prove that an is an arithmetic progression.
A sequence is such that, the difference between successive terms form an arithmetic progression, then its nth term is given by:
The nth term of a sequence is given by the formulaTn = 34 - 8n. The first negative term of the sequence is -8 -2 -4 -6