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Cara Menghitung Limits

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

Panduan Langkah demi Langkah

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

Contoh Terpecahkan

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

Kesalahan Umum yang Harus Dihindari

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

Pertanyaan yang sering diajukan

When does limit not exist?

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

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