Could someone check if this is the correct way to solve this problem.
For what n will the approximation f(x) be accurate to within .0000001 using
, for some between a and b is.
I think for some between a and b means the absolute value of the max between a and b.
From this part on am I suppose to maximize on [0,1] and put that in place of and then solve for n?
If I do that I get
, where 5 is the max of on [0,1]
Solving this for n gives 2886.75 and rounding it to 2887. So n would have to be 2887.