Infinity Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Evaluate lim⁡x→∞1x3\lim_{x \to \infty} \frac{1}{x^3}.

Solution

  1. 1
    As xx grows without bound, x3x^3 also grows without bound.
  2. 2
    Therefore 1x3→0\frac{1}{x^3} \to 0.

Answer

00
Any fixed numerator divided by a quantity approaching infinity gives a limit of zero. The larger the denominator grows, the smaller the fraction becomes.

About Infinity

A concept representing a quantity that grows without bound — infinity is not a real number but a description of unbounded behavior.

Learn more about Infinity →

More Infinity Examples

Example 1 easy

Evaluate [formula].

Example 2 medium

Evaluate [formula].

Example 4 medium

Evaluate [formula].

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