Matematika

Pertanyaan

Tentukan nilainya. Limit mendekati phi / 4 , sin ((phi/4) - x) tan (x- (phi/4)).
(a) 2
(b) 1
(c) 0
(d) -1
(e) -2

1 Jawaban

  • [tex]\displaystyle \lim_{x\to\frac14\pi}\sin(\frac14\pi-x)\tan(x-\frac14\pi)=\sin(\frac14\pi-\frac14\pi)\tan(\frac14\pi-\frac14\pi)\\\lim_{x\to\frac14\pi}\sin(\frac14\pi-x)\tan(x-\frac14\pi)=\sin0\tan0\\\boxed{\boxed{\lim_{x\to\frac14\pi}\sin(\frac14\pi-x)\tan(x-\frac14\pi)=0}}[/tex]

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