\(\frac{1}{f(1)}+\frac{1}{f(2)}+\cdots+\frac{1}{f(99)}\)

Algebra Level 2

If \(f(x)=4x^2-1\), what is the value of \[\frac{1}{f(1)}+\frac{1}{f(2)}+\frac{1}{f(3)}+\cdots+\frac{1}{f(99)}?\]

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