limit mendekati 0 x tanx /cos 2x - cos 7x
Matematika
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Pertanyaan
limit mendekati 0 x tanx /cos 2x - cos 7x
1 Jawaban
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1. Jawaban Anonyme
Bab Limit
Matematika SMA Kelas XI
lim ((x tan x) / (cos 2x - cos 7x))
x→0
= lim ((x tan x) / (-2 sin ((2x + 7x)/2) . sin ((2x - 7x)/2))
x→0
= lim ((x tan x) / (-2 sin (9x/2) . sin (-5x/2))
x→0
= 1/(-2 . (9/2) . (-5/2))
= 1 : (45/2)
= 2/45