# Science:Math Exam Resources/Courses/MATH307/December 2010/Question 06 (c)

MATH307 December 2010
Other MATH307 Exams

### Question 06 (c)

Explain how the orthogonality of the functions ${\displaystyle e^{2\pi inx}}$ allows you to relate the inner product in part (b) to the sum

${\displaystyle \sum _{n=-\infty }^{\infty }|c_{n}|^{2}}$

${\displaystyle \sum _{n=1}^{\infty }n^{-2}}$