Need help in calculating taylor series

I am considering the taylor series for F(x)=sin(x) and I need to calculate the value of f(x+1) for a zeroth order to successfully higher orders until my approximation error is 1% or the script reaches the 100th order, depending on which is smaller. I also need to determine the relative true error. How would I write this script?

[Jim Riggs]

If you were my student, I would ask you to explain what a Taylor series is.

Then I would ask you to write a script to calculate one.

Then we could talk about modifying the Taylor series calculation to provide the specific conditions that you want.

[James Tursa]

What have you done so far? What specific problems are you having with your code?

Answer 1

[Conner Hamilton]

I graphed sin(x) from 0 1.6 radians. Then, the user selects a number on the graph to choose Xi using the ginpht command with an h value of .01. This is where I am stuck afterwards.