Limit of Real Function/Examples/Sine of x over x at Infinity

Example of Limit of Real Function

$\ds \lim_{x \mathop \to +\infty} \dfrac {\sin x} x = 0$

alternating between positive and negative values.

Proof

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Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): limit: 1. (of a function)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): limit: 1. (of a function)