# Integral Test

Calculus Level pending

Using the integral test, find the best possible estimation for the series $$\displaystyle\sum_{n=1}^\infty \frac{1}{n^3}$$ using a partial sum with $$10$$ terms.

Note that $$\displaystyle\sum_{n=1}^{10} \frac{1}{n^3} \approx 1.19753$$ and $$\tfrac{1}{11^2} \approx 0.00826$$.

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