Prove that e^x is not a rational function.
Can anyone help? Thanks in advance.
Simon YAU.
Mathematics
2013-11-13 9:39 pm
回答 (1)
2013-11-14 1:20 am
✔ 最佳答案
If f(x) is a rational function, then there exists n in N, s.t. lim(x→∞) f(x)/x^n = 0.But lim(x→∞) e^x/x^n = ∞ ≠ 0, for any positive integer n,
so that e^x is not a rational function.
收錄日期: 2021-04-13 19:48:37
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