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Question

Question: salue $\frac{1}{\frac{0}{\pi}-1}$ $\frac{1}{\frac{3}{\pi}-1}$ + $\frac{1}{\frac{2}{\pi}-1}$ + ...

salue

10π1\frac{1}{\frac{0}{\pi}-1}

13π1\frac{1}{\frac{3}{\pi}-1}

12π1\frac{1}{\frac{2}{\pi}-1}

13π1\frac{1}{\frac{3}{\pi}-1}

12π1\frac{1}{\frac{2}{\pi}-1}

110\frac{1}{10}

Answer

5π2+15π6π25π+6\frac{-5\pi^2+15\pi-6}{\pi^2-5\pi+6}

Explanation

Solution

The problem requires simplifying a sum of rational expressions involving π\pi. Each term is first simplified individually. Then, common terms are grouped. The fractions are added by finding a common denominator and combining the numerators. Finally, the integer term is combined with the resulting fraction to yield a single rational expression.