# Limits at Infinity Calculator

> Find limits of rational functions as x approaches positive or negative infinity using the leading-term comparison. Returns the limit and a clear degree-comparison reading.

**URL:** https://www.calculatoranswers.com/limits-at-infinity-calculator
**Category:** Education

## Quick Answer

Calculate limits of functions as the variable approaches positive or negative infinity. Enter your mathematical function to find horizontal asymptotes and behavior.

## Definition

A limits at infinity calculator is a calculus tool that evaluates the limit of a mathematical function as the independent variable approaches positive or negative infinity. The calculator analyzes the behavior of rational functions, exponential equations, and radical expressions, applying calculus rules such as dividing by the highest power in the denominator or using L'Hopital's rule. It determines if the limit converges to a finite horizontal asymptote value or diverges to infinity. Calculus students use this utility to analyze asymptotic curve behavior.

## How to Use

1. **Enter the function** — Type the mathematical expression you want to evaluate in the input box.
2. **Select limit direction** — Choose whether the variable approaches positive infinity or negative infinity.
3. **Read the limit** — View the limit value, step-by-step calculus work, and horizontal asymptote details.

## Disclaimer

This calculator provides estimates for educational and planning purposes. Always consult a qualified professional for specific advice on financial, medical, legal, or other regulated decisions.

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