The Fourier-Legendre expansion of f(x)=x 8
on [−1,1] is ∑ n=0
[infinity]
​
c n
​
P n
​
(x). Then c 2
​
= a) 45/112 b) 35/97 c) 40/99 d) 35/87 e) 55/112 f) 50/143