Calculator
Mathematics

Limit & Series (Numerical) Calculator

Numerically approximates limits and series sums.

Tutorial / How it works →

Info

This limit and series calculator **numerically approximates** function limits, sequence limits, and series sums. It is especially useful for: - Quick numerical checks on "What is the limit?" questions, - Observing which value a sequence approaches as n grows, - Estimating whether a series converges and what its approximate sum is. Note: This tool does not perform symbolic (analytic) computation; it produces **approximate results**.

Supported expression examples
  • Limit: f(x) = (sin(x))/x, a = 0 (approximately 1)
  • Sequence: a(n) = (1 + 1/n)^n (approximately e)
  • Series: a(n) = 1/n^2, n=1..∞ (approximately π^2/6)
  • Functions: sin, cos, tan, exp, ln, log, sqrt, abs
  • Constants: pi, e | Variable: x (limit), n (sequence/series)
Numerical methods give approximate results. Convergence may be slow or some expressions may be numerically unstable.
Use advanced settings for more accurate results.