12. Find the sum of the convergent series $\sum_{n=0}^{\infty}(-1)^{n} \frac{3^{2 n}}{5^{2 n}(2 n) !}$ by using a well known function. Identify the function and explain how you obtain the sum.
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We also need to identify the function and explain how to obtain the sum. The given series is: $$S = \sum_{n=0}^{\infty}(-1)^{n} \frac{3^{2 n}}{5^{2 n}(2 n) !}$$ Step 2: Rewrite the terms of the series. We can rewrite the term $\frac{3^{2n}}{5^{2n}}$ as Show more…
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