Ad Infinitum

Definition:

Ad infinitum is a Latin phrase that means “to infinity.” It is used to describe something that is boundless, limitless, or without bounds.

Meaning:

• Boundless: Beyond any limit or boundary.
• Limitless: Without limit or bounds.
• Unbounded: Free from any restrictions or boundaries.
• Infinite: Extending indefinitely beyond any point or boundary.

Examples:

• The number of natural numbers is ad infinitum.
• The area of a circle is ad infinitum.
• The distance to the horizon is ad infinitum.

Mathematical Notation:

∞ (infinity symbol) is used to represent infinity in mathematics. For example:

lim x→∞ (x^2 - 1) = ∞

Synonyms:

• Boundless
• Limitless
• Unbounded
• Infinite
• Endless
• Unlimited

Antonyms:

• Finite
• Limited
• Bounded
• Contained