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Kā aprēķināt Limits

Kas ir Limits?

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

Soli pa solim ceļvedis

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

Worked Examples

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

Common Mistakes to Avoid

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

Frequently Asked Questions

When does limit not exist?

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

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