Pertanyaan

Nilai x → 0 lim 2 x sin 4 x 1 − cos 4 x = .....

Nilai $x \to 0 lim \frac{1 - cos 4 x}{2 x sin 4 x}$ = .....

1
0
-1

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S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style limit as x rightwards arrow 0 of invisible function application space fraction numerator 1 minus cos invisible function application space 4 x over denominator 2 x sin invisible function application space 4 x end fraction equals limit as x rightwards arrow 0 of invisible function application space fraction numerator 1 minus left parenthesis 1 minus 2 sin squared space invisible function application 2 x right parenthesis over denominator 2 x space open parentheses 2 sin invisible function application space 2 x close parentheses space cos space invisible function application 2 x end fraction equals limit as x rightwards arrow 0 of invisible function application space fraction numerator 2 sin squared invisible function application space 2 x over denominator 2 x space open parentheses 2 sin invisible function application space 2 x close parentheses space cos space invisible function application 2 x end fraction equals limit as x rightwards arrow 0 of invisible function application space fraction numerator sin space invisible function application 2 x over denominator 2 x space cos space invisible function application 2 x end fraction equals limit as x rightwards arrow 0 of invisible function application space fraction numerator tan invisible function application space 2 x over denominator 2 x space end fraction equals 2 over 2 equals space 1 end style$