- #1
jinbaw
- 65
- 0
Homework Statement
[tex] X \geq Y > 0, find \lim_{n \to \infty} \left(\frac{2X^n + 7Y^n}{2}\right)^{1/n}
[/tex]
Homework Equations
The Attempt at a Solution
I'm not really sure how to do it, but i guess I need to use the fact that [tex] \frac{Y}{X} \leq 1 [/tex], and so [tex] \lim_{n \to \infty} \left(\frac{Y}{X}\right)^n = 0. [/tex]
Thanks for your help.