Exponential of Zero/Proof 2
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Theorem
- $\exp 0 = 1$
Proof
Using the definition of the exponential as a limit of a sequence:
\(\ds \exp 0\) | \(=\) | \(\ds \lim_{n \mathop \to \infty} \left({1 + \frac 0 n}\right)^n\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 1\) |
$\blacksquare$