f(x) = x^2/(x^2-1)
It might help to visit
https://math.stackexchange.com/questions/312381/proving-prodk2-1-k2-n1-2n-by-induction
to see that
n
Π (k^2-1)/k^2 = (n+1)/(2n)
k=2
so, you want n such that
2n/(n+1) < 1.98
Let $$f(x) = \frac{x^2}{x^2 - 1}.$$Find the largest integer $n$ so that $f(2) \cdot f(3) \cdot f(4) \cdots f(n-1) \cdot f(n) < 1.98.$
1 answer