# Interpolation math problem

#### devilsys

1. Homework Statement
Hi m8s,

determine the max. step size that can be used in the function of F(x)=ex
∈ [0, 1] so the error in the linear interpolation less than 5*10-4

2. Homework Equations

3. The Attempt at a Solution
i used the Taylor expansion to get an eqn. so i be able to get the general interpolation egn. as:
f(x)=1+x+x2/2+x3/6+....
and to the linear the eqn. will be:
f(x)=1+x

then i got the table with my x0 =0.1 and my step size = 0.2 , and i got p(x)~0.18x+1.0625 ,
and i said that the e^x = P(x) to able to get the step size (h) as asked .
But the problem is i cant get it to the error less than 5*10^-4 in my step size.

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