Lim mendekati 5 untuk 3x-15/√2x-1-3 mhon bantuannya
Matematika
hermaputri12
Pertanyaan
Lim mendekati 5 untuk 3x-15/√2x-1-3 mhon bantuannya
1 Jawaban
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1. Jawaban whongaliem
limit (3x - 15) / {√(2x - 1) - 3}
x⇒5
= limit [3 (x - 5) {√(2x - 1) + 3}] / {√(2x - 1) - 3}{√(2x - 1) + 3}
x⇒5
= limit [3(x - 5) {√(2x - 1) + 3 } ] / (2x - 1 - 9)
x⇒5
= limit [3 (x - 5) {√2x - 1) + 3 } ] / (2x - 10)
x⇒5
= limit [ 3 (x - 5) {√(2x - 1) + 3} ] / 2 (x - 5)
x⇒5
= limit 3 {√2x - 1) + 3 } / 2
x⇒5
= 3 [ √{2.(5) - 1} + 3] / 2
= 3 {√(10 - 1) / 2
= (3√9) / 2
= 3 (3) / 2
= 9/2
= 4 1/2