lim x -> ∞ 2x-1/√(2x^2+3)
Matematika
Mercy80172
Pertanyaan
lim x -> ∞ 2x-1/√(2x^2+3)
1 Jawaban
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1. Jawaban whongaliem
limit (2x - 1) / {√(2x² + 3)} = limit x ( x - 1/x) /√ {x² (2 + 3/x²)}
x⇒∞ x⇒∞
= limit x (2 - 1/x) / x √(2 + 3/x²)
x⇒∞
= limit (2 - 1/x) / √(2 + 3/x²)
x⇒∞
= (2 - 1/∞) / √(2 + 3/∞²)
= (2 - 0) / √(2 + 0)
= 2 / √2 X √2 / √2
= 2√2 / 2
= √2