If −1<x<1 and −1<y<1, define the "relativistic sum'' x⊕y to be
x⊕y=1+xyx+y.
The operation ⊕ is commutative and associative. Let v be the number
v=717+1717−1.
What is the value of
v⊕v⊕v⊕v⊕v⊕v⊕v⊕v⊕v⊕v⊕v⊕v⊕v⊕v?
(In this expression, ⊕ appears 13 times.)