limit X mendekati 0 (cosx - cos 2x) / ( x tan x) =
Matematika
Kristiantheo
Pertanyaan
limit X mendekati 0 (cosx - cos 2x) / ( x tan x) =
1 Jawaban
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1. Jawaban keruasriki
LIMIT
Lim (-2sin(x+2x)/2 × sin(x - 2x)/2 ) / x tan x
Lim (-2sin(3x/2) × sin(-x/2)) / x tan x
Lim (2sin(3x/2) × sin(x/2))/x tan x
2 × Lim sin(3x/2)/x × Lim sin(x/2) / tan x
2 × 3/2 × 1/2
3 × 1/2
3/2