Matematika

Pertanyaan

mohon bantuan nya ya
mohon bantuan nya ya

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1 Jawaban

  • Lim {1/(x tan x) - (cos^2 x)/(x sin x)}
    = Lim {1/(x (sin x)/(cos x)) - (cos^2 x)/(x sin x)}
    = Lim {(cos x)/(x sin x) - (cos^2 x)/(x sin x)}
    = Lim {cos x (1 - cos x) / (x sin x)}
    = Lim {cos x . (2 sin^2 1/2 x) / (x sin x)}
    = Lim 2 cos x . (sin 1/2 x)/x . (sin 1/2 x)/(sin x)
    = 2 . cos 0 . (1/2)/1 . (1/2)/1
    = 2 . 1 . 1/2 . 1/2
    = 1/2

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