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Как да изчислим Limits

Какво е Limits?

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

Ръководство стъпка по стъпка

  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

Вход
lim(x→2) (x²-4)/(x-2)
Резултат
= 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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