# Maclaurin Series

solved thanks

Last edited:

Dick
Homework Helper
Yes, the first part is correct. The limit of the ratios is 0 so the radius of convergence is infinite. For the second part you need a form for the remainder term in a Taylor series. Weren't you given one? If not look it up and try to estimate it.

Thanks Dick,

Yea my teacher didnt explain it in class cause there was no time left.
Is there a general formula to calculate the max error?

Thanks

Hey dick,

thanks but i think my teachers wants to do it with this formula:

abs(Rn(x)) less than or equal to (M)/(n+1)! abs(x-a)^(n+1)

I dont know what the M equals to tho

Dick
Homework Helper
Hey dick,

thanks but i think my teachers wants to do it with this formula:

abs(Rn(x)) less than or equal to (M)/(n+1)! abs(x-a)^(n+1)

I dont know what the M equals to tho

M is a bound for the k+1 derivative of f(x) over the interval. Look at the link I sent you. You'll see f^(k+1) instead of M.

Hi i got the answer to be 0.0317.
Is that correct?

Thanks =)

Dick