lim x² + x – 12 ₌ (-4)² + (-4) – 12
x➙-4 2x²-32 2 × (-4)²
₌ 16 – 4 – 12 ₌ 0
2 × 16 – 32 0
Menentukan nilai limit fungsi dengan cara menetralisir aspek yang sama:
lim x² + x – 12 ₌ lim (x + 4)(x – 3)
x➙-4 2x²-32 x➙-4 2(x² – 16)
₌ lim (x + 4)(x – 3)
x➙-4 2(x + 4)(x – 4)
₌ lim (x – 3)
x➙-4 2(x – 4)
₌ -4 – 3
2 × (-4 – 4)
₌ -7 ₌ 7
2 × (-8) 16
Jadi, nilai lim x² + x – 12 ₌ 7
x➙-4 2x² – 32 16