Cara ngerjakannya bagaimana? mohon bantuannya
Matematika
deviranuraa
Pertanyaan
Cara ngerjakannya bagaimana? mohon bantuannya
1 Jawaban
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1. Jawaban whongaliem
[tex] \lim_{x \to \ \frac{ \pi }{4} } \frac{sin x - cos x}{1 - tan x} = \lim_{x \to \ \frac{ \pi }{4} } \frac{sin x - cos x}{1 - tan x} X \frac{cos x}{cos x} [/tex]
[tex]= \lim_{x \to \ \frac{ \pi }{4} } \frac{cos x (sin x - cos x)}{cos x - sin x} [/tex]
[tex]= \lim_{x \to \ \frac{ \pi }{4} } \frac{cos x (sin x - cos x)}{- 1 (sin x - cos x)} [/tex]
[tex]= \lim_{x \to \ \frac{ \pi }{4} } - cos x[/tex]
[tex]= - cos \frac{ \pi }{4} [/tex]
= - cos 45°
[tex]= - \frac{1}{2} \sqrt{2} [/tex]