82.0k views
5 votes
Prove that Lim 1/ n⅚ =0?

User Bosmacs
by
8.1k points

2 Answers

2 votes
I can’t help you with math because I am not good in math
User Jfalkson
by
8.4k points
1 vote
To prove that \(\lim_{n \to \infty} \frac{1}{n^{6/5}} = 0\), you can use the fact that the denominator (n raised to a positive power) increases without bound as n approaches infinity.

Here's a brief proof:

Given the limit expression: \(\lim_{n \to \infty} \frac{1}{n^{6/5}}\)

As \(n\) approaches infinity, the denominator \(n^{6/5}\) becomes larger and larger. In the limit, the fraction \(\frac{1}{n^{6/5}}\) approaches zero because you are dividing 1 by an increasingly larger number.

So, \(\lim_{n \to \infty} \frac{1}{n^{6/5}} = 0\).
User Amir Ziarati
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.