Question 27
If
$$f(x)=\frac1{\sqrt[3]{x^2+2x+1}+\sqrt[3]{x^2-1}+\sqrt[3]{x^2-2x+1}}$$
for all positive integers $x$, find $f(1)+f(3)+f(5)+\cdots+f(997)+f(999)$.
$$f(x)=\frac1{\sqrt[3]{x^2+2x+1}+\sqrt[3]{x^2-1}+\sqrt[3]{x^2-2x+1}}$$
for all positive integers $x$, find $f(1)+f(3)+f(5)+\cdots+f(997)+f(999)$.