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## Homework Statement

find the taylor series for the function

f(x) = [tex]\frac{x^2+1}{4x+5}[/tex]

## Homework Equations

N/A

## The Attempt at a Solution

how to do this?

1st attempt.

i did turn it this term

[tex]\frac{x}{4}[/tex] + [tex]\frac{-5x+4}{16x+20}[/tex] can i turn this to taylor series?

maybe i know how to make [tex]\frac{-5x+4}{16x+20}[/tex] to taylor but

[tex]\frac{x}{4}[/tex] + [tex]\frac{-5x+4}{16x+20}[/tex]??

2nd attempt.

should i differentiate it until i get f

^{n}(x) form??

what to do what to do?