# Think about it!

Calculus Level pending

Find the smallest possible value of $$\alpha$$ such that;

$$\sum _{ n=1 }^{ N }{ \frac { 2n+1 }{ ({ n }^{ 2 }+1)({ n }^{ 2 }+2n+2) } } \le \alpha$$

Where $$N\ge 1$$

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