Let's do some calculus! (41)
Calculus
Level
5
\[\large \displaystyle \sum_{n=1}^{\infty} {(-1)}^{n-1} \dfrac{n^8}{n!} = \dfrac ke\]
What is \(| k | \)?
Notations:
- \(e \approx 2.71828\) denotes the Euler's number.
- \( | \cdot | \) denotes the absolute value function.
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by
Tapas Mazumdar