Questions tagged [sequences-and-series]

For questions concerning sequences and series. Typical questions concern, but are not limited to: recurrence relations, convergence tests, identifying sequences, identifying terms. For questions on finite sums, use the (summation) tag instead.

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Find the vertical asymptotes of the graph $(\!{\rm C}\!)$ of the function $y= \frac{1}{x\,\sin\frac{1}{x}}$ .

Problem. Find the vertical asymptotes of the graph $(\!{\rm C}\!)$ of the function $y= \dfrac{1}{x\,\sin\frac{1}{x}}$ . Solution. All the solutions of the equation $x\,\sin\dfrac{1}{x}= 0$ are $x= 0$ ...