e^3 power series

e^3 power series

Postby Guest » Sat Mar 28, 2020 12:31 pm

Hello maths people,

My college has been closed for a few weeks now and the teacher has posted a new assignment for us but I have no idea how to do one of the questions on there; since there have been no lessons due to the Corona virus.

Wondering if anyone would be able to help me and explain it to me?

The questions is:

Expand e^3 as a power series.

I've read loads of guides and gone through my maths books but I just don't get it. Could anyone help me out?

Thanks very much.
Guest
 

Re: e^3 power series

Postby HallsofIvy » Sat Jul 25, 2020 11:48 pm

Do you know the McLaurin series for $e^x$?

$e^x= \sum_{n= 0}^\infty \frac{x^n}{n!}= 1+ x+ \frac{x^2}{2}+ \frac{x^3}{3!}+ \cdot\cdot\cdot$

Set x= 3 in that.

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