Limit Calculator

Approximate the limit of a function as x approaches a value.

  • Free Online Tool
  • Instant Results
  • Mobile Friendly
  • No Installation
  • Secure & Private

Understanding This Calculator

Limit Definition

Evaluates the behavior of f(x) as x gets arbitrarily close to a value 'a'. Checks both left (x → a⁻) and right (x → a⁺) sides.

L = lim(x→a) f(x)

Example 1

f(x) = (x² - 1)/(x - 1) as x → 1

  • Direct sub gives 0/0 (undefined).
  • Simplify: (x-1)(x+1)/(x-1) = x+1
  • Limit = 1 + 1 = 2

Example 2

f(x) = 1/x as x → ∞

  • As x gets larger, 1/x approaches 0.

How to Use

  • Enter the function f(x).
  • Enter the value x approaches.

Frequently Asked Questions

How do I use the Limit Calculator?

Enter your values in the input fields, and the result will appear instantly.

Is this calculator free to use?

Yes, this calculator is 100% free and does not require any registration or subscription.

Is it mobile-friendly?

Absolutely! Our tool is optimized for all devices, including mobile phones, tablets, and desktop computers.