1. \lim_{x \to 0} \frac{x^2}{sin^27x} 2. \lim_{x \to 4} \frac{tan 3x}{4x} 3. \lim_{x \to 0} \frac{1-cos2x}{sin(2x- \pi) } 4. \lim_{x \to 0} \frac{arctan x}{1-7x
Matematika
fathirazahra12
Pertanyaan
1. \lim_{x \to 0} \frac{x^2}{sin^27x}
2. \lim_{x \to 4} \frac{tan 3x}{4x}
3. \lim_{x \to 0} \frac{1-cos2x}{sin(2x- \pi) }
4. \lim_{x \to 0} \frac{arctan x}{1-7x}
2. \lim_{x \to 4} \frac{tan 3x}{4x}
3. \lim_{x \to 0} \frac{1-cos2x}{sin(2x- \pi) }
4. \lim_{x \to 0} \frac{arctan x}{1-7x}
1 Jawaban
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1. Jawaban DB45
limit
1. lim(x->0) x²/ sin² 7x = (x²)/(7x)² = 1/49
2. lim(x->0) tan 3x /(4x)= 3/4
3. lim(x->0) (1- cos 2x)/ sin(2x - π) = (1 - cos 2x) /(- sin (π- 2x)
= (1 - cos 2 x) / - cos 2x
= 1/cos 2x + 1
x = 0 -- > 1+ 1= 2
4.