Hitunglah lim(6x - 2 - √(9x - 2)(4x + 1) = .... x —> oo
Matematika
Bryan991
Pertanyaan
Hitunglah lim(6x - 2 - √(9x - 2)(4x + 1) = .... x —> oo
1 Jawaban
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1. Jawaban hakimium
Limit
Matematika XI
Rumus shortcut
Lim(x→∞) [√(ax² + bx + c) - √(ax² + px + d)] = (b - p) / (2√a)
Lim(x→∞) [6x - 2 - √(9x - 2)(4x + 1)]
= Lim(x→∞) [√(6x - 2)² - √(9x - 2)(4x + 1)]
= Lim(x→∞) [√(36x² - 24x + 4) - √(36x² + x - 2)]
= [-24 - 12] / [2√36]
= -36 / (2 x 6)
= - 3