Jawaban:
Materi : Limit.
Solusi dilampir foto. Dikirim per foto per nomor soal.
Jawab:
limit trigonometri
bentuk tak tentu
Penjelasan dengan langkah-langkah:
9) lim (x-> pi/4) [ cos x - sin x ] / (x - π/4]
t = x - π/4
x = t + π/4
x= π/4 --> t = 0
lim(t ->0) [ cos ( t + π/4) - sin ( t+ π/4)] / (t)
= lim(t->0) [ cos t cos π/4 - sin t sin π/4 - ( sin t cos π/4 + cos t sin π/4) ]/t
= lim(t->0) [ 1/2 √2. cos t - 1/2 √2 sin t - 1/2√2 sin t - 1/2 √2 cos t]/ t
= lim(t -> 0) [ - √2 sin t / t ]
= -√2
No. 7, 8 di gambar
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Jawaban:
Materi : Limit.
Solusi dilampir foto. Dikirim per foto per nomor soal.
Jawab:
limit trigonometri
bentuk tak tentu
Penjelasan dengan langkah-langkah:
9) lim (x-> pi/4) [ cos x - sin x ] / (x - π/4]
t = x - π/4
x = t + π/4
x= π/4 --> t = 0
lim(t ->0) [ cos ( t + π/4) - sin ( t+ π/4)] / (t)
= lim(t->0) [ cos t cos π/4 - sin t sin π/4 - ( sin t cos π/4 + cos t sin π/4) ]/t
= lim(t->0) [ 1/2 √2. cos t - 1/2 √2 sin t - 1/2√2 sin t - 1/2 √2 cos t]/ t
= lim(t -> 0) [ - √2 sin t / t ]
= -√2
No. 7, 8 di gambar