- #1

- 263

- 0

## Homework Statement

$$ \displaystyle f\left( x \right)=\int\limits_{0}^{x}{\frac{\sin t}{t}dt} $$

Calculate the Maclaurin series of third order.

## Homework Equations

## The Attempt at a Solution

What I do is:

$$ \displaystyle f'\left( x \right)=\frac{\sin x}{x} $$

$$ \displaystyle f''\left( x \right)=\frac{x\cos x-\sin x}{{{x}^{2}}}$$

and so on...

but if I try to evaluate theese two on x=0 it doesn't make sense. I've seen I have to transform the integrand to the taylor polynomial but why is my "method" wrong?

Thanks

Last edited: