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Lim ----------------
x → 0 x.tan (½x)
Ingat rumus sudut rangkap:
cos 2x = 1 - 2sin²x
diubah menjadi
1 - cos 2x = 2sin²x
substitusikan
2sin²x
Lim ------------------
x → 0 x.tan (½x)
2 sin x sin x
Lim . -------- . -------------
x → 0 x tan (½x)
= (2)(1)[1 / ½]
= 2 x 2
= 4
Jawaban D