write the first 4 terms of the taylor's series for f(x)=3^x centered at c=0

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- May 22nd 2007, 11:36 PMjephtaylors series
write the first 4 terms of the taylor's series for f(x)=3^x centered at c=0

- May 22nd 2007, 11:56 PMJhevon
- May 23rd 2007, 08:48 AMjeph
when i differentiate 3^x i get 3^x(ln3)

but when i differentiate that again i get

[3^x]' ln3 + 3^x [ln3]'

=3^x(ln3)(ln3) + 3^x 1/3

3^x(ln3)^2 + 3^x 1/3 - May 23rd 2007, 12:56 PMJhevon
- May 23rd 2007, 02:05 PMCaptainBlack