Prove ${e}^{x}$, $x\in\mathbb{Z}$ is irrational

Asked Mar 14 '19 at 00:14

Active Mar 14 '19 at 01:42

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I was thinking of random problems in my head when this came to mind. But I have absolutely no idea how to solve it, so I can't show my attempts. Please help me with this.

Prove $\boldsymbol{e^x}$, $\boldsymbol{x\in\mathbb{Z}}$ is irrational

edited Mar 14 '19 at 01:42

Rócherz

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asked Mar 14 '19 at 00:14

Math Bob

this https://math.stackexchange.com/questions/476939/proving-the-irrationality-of-en may interest you probaly – cand Mar 14 '19 at 00:19
not true for $x=0$ – J. W. Tanner Mar 14 '19 at 00:33

Prove ${e}^{x}$, $x\in\mathbb{Z}$ is irrational

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