Love Squeeze Theorem/Law.
Consider the expression:
We know that if we omit the 3^n, we acquire the inequality:
We know that 3 < 5, so we have 3^n < 5^n.
If we were to put this into our expression, we acquire:
So combining our two inequalities yields:
So taking the limit as n approaches infinity, we acquire:
And so by the Squeeze Law, we have:
This is actually a specific case of this:
*cough*Pinching Theorem*cough*Love Squeeze Theorem/Law.
This is actually a good way to test whether you are correcct. Ideally though, use a bigger numberjust put (3^99 + 5^99)^1/99 in calc so much easier hahaha... nah that law is awesome
my calc gives 5 by using that anywayThis is actually a good way to test whether you are correcct. Ideally though, use a bigger number