Bourbaki

Example 3

Tag 08E9, permanent. Cite it as [Bourbaki, Tag 08E9].

Functions of a Real Variable, chapter V, § 1. COMPARISON OF FUNCTIONS ON A FILTERED SET

When the real number xx tends to +∞+\infty one has (1+1x)sin⁡x∼sin⁡x\left( 1 + \frac{1}{x} \right) \sin x \sim \sin x.

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

Cited by

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Cites

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Transcribed from the printed volume. Not translated.