nilai lim x mendekati tak hingga akar x kuadrat kurang 7x tambah 5 kurang (x tambah 2)
Matematika
febrychandra1
Pertanyaan
nilai lim x mendekati tak hingga akar x kuadrat kurang 7x tambah 5 kurang (x tambah 2)
1 Jawaban
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1. Jawaban ahbabcsckert
limit x→~ [√(x² - 7x + 5) - (x + 2)] =
limit x→~ [(x² - 7x + 5) - (x² + 4x + 4)] / [√(x² - 7x + 5) + (x + 2)] =
limit x→~ [-11x + 1] / [√(x² - 7x + 5) + (x + 2)] =
limit x→~ [-11 + 1/x] / [√(1 - 7/x + 5/x²) + (1 + 2/x)] =
[-11 + 0] / [√(1 - 0 + 0) + (1 + 0)] =
[-11] / [√1 + 1] =
-11 / 2
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