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# Prove that the series obtained in Exercise 18 represents $\cosh x$ for all $x.$

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##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

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### Video Transcript

The problem is proof that of serious about finding exercise. A team represents cortex or axe. So after works is they go to coach thanks, which is equal to two acts. Us it connective ax over too. So you're absolutely or fax his last twenty half coach Axe this last time, too. Andi think shacks. It's also last time you should be on behalf and the derivative off half a box. ISS last, too. On behalf Arup Bond Our axe as value off our necks this last time need to the hams absolutely off X to the power ofthe past one over and plus one bacterial. This is the limit and cost to infinity into the Tom's Ex two plus one over plus Long Factory alone. It's equal to zero for all acts on behalf Limit on God's three affinity. I'm equal to zero to the Siri's off time to exercise eighteen represents coach acts for all axe

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##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp