Nilai dari lim x → 2 (x+3)(x-2)/(x2-4) adalah ….

lim (x + 3)(x – 2)/(x² – 4) = 5/4

x → 2

Pembahasan

lim (x + 3)(x – 2) / (x² – 4)

x → 2

lim (x + 3)(x – 2)/(x + 2)(x – 2)

x → 2

lim (x + 3)/(x + 2)

x → 2

= (2 + 3)/(2 + 2)

= 5/4

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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 (x + 3)(x – 2) / (x² – 4)

= Lim x -> 2 (x + 3)(x – 2) / (x – 2)(x + 2)

= Lim x -> 2 (x + 3) / (x + 2)

= 2 + 3 / 2 + 2

= 5 / 4