I want to find the highest exponent of a function. Here is my code:
T22 = -x - x^5; T23 = x^2 + x^6 - x^8; V[n_] := (x^(3 n - 8) + (-1)^(n - 1) x^(n - 4))/(x + x^-1) T23 + ( x^(3 n - 7) + (-1)^(n - 2) x^(n - 1))/(x + x^-1) T22;
Now I want the the highest exponent of
V, then I input the code:
The output is $12$. It's not the right answer. The right answer is $11$. I have not figured out why the output is not 11. Thank you!
Thank Jose for the previous problem. Now I make a replacement:
a = V /. x -> (E - 1)/2 y + (E + 1)/2; Exponent[FullSimplify@a, y]
Still, the output is 12, not 11. Since the replcement is a linear transformation, the highest exponent of $a$ should not change. Again, thanks.