mohon dibantu 1. Tentukan nilai lim x-->~ (3x³-4x²+2)/(4x⁴+2x³-1)
Matematika
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mohon dibantu
1. Tentukan nilai lim x-->~ (3x³-4x²+2)/(4x⁴+2x³-1)
1. Tentukan nilai lim x-->~ (3x³-4x²+2)/(4x⁴+2x³-1)
1 Jawaban
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1. Jawaban asobri68
3x³-4x²+2 = (3x³/x⁴)-(4x²/x⁴)+(2/x⁴)
= (3/x)-(4/x²)+(2/x⁴)
lim x-->~ ((3/x)-(4/x²)+(2/x⁴)) = 0 - 0 + 0
= 0
4x⁴+2x³-1 = (4x⁴/x⁴)+(2x³/x⁴)-(1/x⁴)
= 4 + (2/x) - (1/x⁴)
lim x-->~ (4 + (2/x) - (1/x⁴)) = 4 + 0 - 0
= 4
lim x-->~ ((3/x)-(4/x²)+(2/x⁴)) 0
------------------------------------- = --- = 0
lim x-->~ (4 + (2/x) - (1/x⁴)) 4