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# What is the point in the Taylor Series expansion? watch

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1. I understand how to use the Taylor (and Maclaurin) Series, but I don't understand what the point in using it in the first place is...

So it is used to approximate the value of a function at x = a ...

but hey, instead of doing all that working out and just approximating the function value at a, I could just do f(a) instead, and then I'm directly lead to the right answer, it's not even an approximation! :O

Why would you use the Taylor Series in a real life situation instead of just doing f(a)?
2. Funny, my teacher was teaching my about Taylor Series today too!

He told me that calculators use the taylor (maclaurin) expansion to evaluate funtions such as: sinx, cosx, e^x.

He's a comp sci grad from Imperial so I'm pretty sure he knows what he's talking about.

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Updated: September 25, 2011
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