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Limit Calculator

Free limit calculator. Evaluate the limit of polynomial, reciprocal and sin(x)/x functions as x approaches any value.

How to Use This Limit Calculator

  1. 1Choose the function type from the dropdown
  2. 2Enter the coefficients (a, b, c) as needed
  3. 3Enter the value x approaches
  4. 4Click Calculate to see the limit and method used

Formula

For polynomials, lim x→a f(x) = f(a) by direct substitution. Special limits: lim x→0 1/x is undefined (±∞); lim x→0 sin(x)/x = 1.

Frequently Asked Questions

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About Limit Calculator

Compute the limit of common calculus functions as x approaches a value. Supports linear (ax + b), quadratic (ax² + bx + c), reciprocal (1/x), and the special limit sin(x)/x. Shows the evaluated limit, method used (direct substitution or special limit), and left-hand and right-hand limits so you can verify continuity. Ideal for calculus students learning limits, continuity, and derivatives.