This semester, the rule is changed so that the solutions are due next Friday at 3PM, i.e., exactly a week after the post of the problem.
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This semester, the rule is changed so that the solutions are due next Friday at 3PM, i.e., exactly a week after the post of the problem.
Evaluate the following:
\[
\frac{1}{1^2 \cdot 3^3 \cdot 5^2} – \frac{1}{3^2 \cdot 5^3 \cdot 7^2} + \frac{1}{5^2 \cdot 7^3 \cdot 9^2} – \dots
\]