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WZ
Numerade Educator

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Problem 29 Easy Difficulty

Prove that the series obtained in Exercise 17 represents $ \sinh x $ for all $ x. $

Answer

$$\left|R_{n}(x)\right| \leq \frac{\cosh d}{(n+1) !}|x|^{n+1}$$

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Video Transcript

The problem is proof that if Siri's obtained in Exercise seventeen represents St Acts, all acts first. Though we have our backs, it's called a cinch axe, which is? They just tow X minus two connected backs over to one absolute value ofthe axe is last. Behalf Finch Axe After a while, your syntax is last time, you think. And that's why you off coach Checks is also asked me to be on behalf and derivative off It works. How swallows this one last thing on behalf our necks absolutely off Max this last time, too. Holmes, absolutely off axed and plus one over it. And plus one Torrio since the limit and goes to vanity into the hams. Packs two plus one over and plus one factory alone. Yes, equal to zero for our axe. Half the limit. Our necks. What costume Serenity is four to zero, so we have the Siri's obtained in exercise. Seventeen represents cinch axe off all axe