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

Algebra Level 2

If f(x)=4x21f(x)=4x^2-1, what is the value of 1f(1)+1f(2)+1f(3)++1f(99)?\frac{1}{f(1)}+\frac{1}{f(2)}+\frac{1}{f(3)}+\cdots+\frac{1}{f(99)}?

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