lim mendekati n 1 + cos x/(x - π)²
Matematika
treshop2k16
Pertanyaan
lim mendekati n 1 + cos x/(x - π)²
2 Jawaban
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1. Jawaban EdiHeaven
jawaban ada di lampiran ya :)2. Jawaban whongaliem
limit (1 + cos x) / (x - π)²
x⇒π
misal : x - π = A karena x⇒π maka A⇒0
x = π + A
soal dapat ditulis dalam bentuk
limit (1 + cos x ) / (x - π)² = limit {1 + cos (π + A) / A²
x⇒π A⇒0
= limit (1 - cos A) / A²
A⇒0
= limit [1 - {cos² (1/2 A) - sin² (1/2 A)}] / A²
A⇒0
= limit {1 - cos² (1/2 A) + sin² (1/2 A)} / A²
A⇒0
= limit { sin² (1/2 A) + sin² (1/2 A)} / A²
A⇒0
= limit { 2.sin² (1/2 A) } / A²
A⇒0
= 2 .limit {sin² (1/2 A) / A²
A⇒0
= 2 . (1/2)²
= 2 (1/4)
= 1/2Pertanyaan Lainnya
