Uniform Convergence of Fourier Series

[ZedCar]

Homework Statement

Find the minimum number required (value of n) for the average deviation of the Fourier Series to fall below 2%

Homework Equations

Use the Uniform Convergence of Fourier Series.

Where Sm is the partial sum of the Fourier Series.
C is constant. Here C is ∏^2

So,

2∏^2/M ≤ 0.02 M≥10000 M=10000 series will give a 2.0% error.

or

2∏^2/M ≤ 2.0 M≥1000 M=1000 series will give a 2.0% error

Which of these two attempts is correct?

Thank you!

 

[ZedCar]

Anyone happen to know?

I'm not sure if 0.02 should represent 2% or if 2 should?

Thank you