Hitunglah masing-masing limit dibawah ini lim x->2 (x^2 – 4)/(x^3 – 8)

lim (x² – 4)/(x³ – 8) = 1/3

x → 2

Pembahasan

lim (x² – 4)/(x³ – 8)

x → 2

lim (x + 2)(x – 2) / (x – 2)(x² + 2x + 4)

x → 2

lim (x + 2) / (x² + 2x + 4)

x → 2

= (2 + 2) / (2² + 2 (2) + 4)

= 4/12

= 1/3

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Detil Jawaban

Kelas: 11

Mapel: Matematika

Bab: Limit Fungsi Aljabar

Kode: 11.2.8

Kata Kunci: pemfaktoran limit

Jawaban:

• Limit

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Lim x -> 2 (x² – 4) / (x³ – 8)

= Lim x -> 2 (x – 2)(x + 2) / (x – 2) (x² + 2x + 4)

= Lim x -> 2 (x + 2) / (x² + 2x + 4)

= 2 + 2 / 2² + 2(2) + 4

= 4 / 12

= 1 / 3