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Numerade Educator

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Problem 73 Hard Difficulty

Find the sum of the series.

$ \sum_{n = 0}^{\infty} (-1)^n \frac {x^{4n}}{n!} $

Answer

$e^{-x^{4}}$

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Video Transcript

Okay, fund this Some of the Siri's s. So this is Look, this looks very similar to our exponential function. But of course, we're gonna do some, like some change wearables to make it look similar to eat a power X. So is this him too? And from zero to Philly and minus one times except for four to the powers in Over in factorial. And let's see if we change t equals not you extra port for And this is just so it is Pete to the poor tea. So it was to eat. Report, Not you. Oh four. And this is our results. Shakespeare. Nothing. That's two for four.