infinite series

Calculus Level 2

Which of these is equal to the following sum?

∑ n = 0 ∞ x n n ! \sum_{n=0}^{\infty} \frac{x^n}{n!}

cos ⁡ ( x ) \cos(x) ln ⁡ ( x ) \ln(x) e x e^x sin ⁡ ( x ) \sin(x)

Charley Shi by Charley Shi , 19, New Zealand

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1 solution

Théo Leblanc
Apr 2, 2020

This is just the good definition of exp ⁡ : x ⟼ exp ⁡ ( x ) \exp \ : \ x \longmapsto \exp(x) .

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