If you have a new account but are having problems posting or verifying your account, please email us on hello@boards.ie for help. Thanks :)

Hello all! Please ensure that you are posting a new thread or question in the appropriate forum. The Feedback forum is overwhelmed with questions that are having to be moved elsewhere. If you need help to verify your account contact hello@boards.ie

Maclaurin Series Question

Fuascailt · 2008-06-07 10:36:06

If you're using the series for (1+X)^n to approximate square root 10, how would you split up the ten? Cos it only converges between 1 and -1. Thanks

Options

07-06-2008 11:36am

#1

Fuascailt

Closed Accounts Posts: 268 ✭✭

Join Date: September 2007

Posts: 240

If you're using the series for (1+X)^n to approximate square root 10, how would you split up the ten? Cos it only converges between 1 and -1.

Thanks

0

Comments

Options
#2 07-06-2008 11:47am
BMH

Closed Accounts Posts: 804 ✭✭✭

Join Date: May 2006

Posts: 793

Fuascailt wrote: »

If you're using the series for (1+X)^n to approximate square root 10, how would you split up the ten? Cos it only converges between 1 and -1.

Thanks

Let x=1/9 and n=1/2 and multiply the final answer by three.

0
Options
#3 07-06-2008 11:48am
Fuascailt

Closed Accounts Posts: 268 ✭✭

Join Date: September 2007

Posts: 240

Thanks, that sound familiar now that i hear it:)

0
Options
#4 07-06-2008 4:10pm
padkav

Closed Accounts Posts: 4 ✭

Join Date: November 2007

Posts: 4

http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&eq=(1%2Bx)%5En%20%0D%0A%5C%5C%5Csqrt%7B10%7D%0D%0A%3D%5Csqrt%7B9%2B1%7D%0D%0A%3D%5Csqrt%7B9%7D%5Csqrt%7B1%2B%5Cfrac%7B1%7D%7B9%7D%7D%0D%0A%3D3%5Csqrt%7B1%2B%5Cfrac%7B1%7D%7B9%7D%7D%0D%0A%5C%5CLet%20x%3D%5Cfrac%7B1%7D%7B9%7Dandn%3D%5Cfrac%7B1%7D%7B2%7D

0