Question: Evaluate the following limits. (You may use the familiar derivative formulas for the elementary functions.)

1. \(\lim _{x \rightarrow 0^{+}} x \ln x\)
2. \(\lim _{x \rightarrow 0^{+}} x^{2 x}\)
3. \(\lim _{x \rightarrow+\infty} \frac{\sin x}{x}\).

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