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

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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