Question
If $y=\frac{x}{1+} \cdot \frac{x}{2+} \cdot \frac{x}{1+} \cdot \frac{x}{2+} \ldots$ to $\infty$, then find $\frac{d y}{d x}$.
Step 1
The expression $y=\frac{x}{1+} \cdot \frac{x}{2+} \cdot \frac{x}{1+} \cdot \frac{x}{2+} \ldots$ to $\infty$ can be rewritten as $y = \frac{x^2}{(1+x)(2+x)}$. Show more…
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