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Limit describes value function approaches as input approaches some value: lim(x→a) f(x) = L. Foundation of calculus.

Guia passo a passo

  1. 1Input function and point
  2. 2Calculate limit by substitution, factoring, L'Hôpital's rule, or numeric approximation
  3. 3Results show limit value

Exemplos resolvidos

Entrada
lim(x→2) (x²-4)/(x-2)
Resultado
= lim(x→2) (x+2) = 4 (factor to remove discontinuity)

Erros comuns a evitar

  • Direct substitution when undefined (0/0)
  • Not checking left and right limits

Perguntas frequentes

When does limit not exist?

If left/right limits differ, oscillates, or diverges to infinity.

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