y= (3x+8)sin(5x-20)/4-√20-x
tolong bantu jawab ya![]()
tolong bantu jawab ya
LImit bentuk 0/0
Penjelasan dengan langkah-langkah:
[tex]\sf lim_{x\to 4}\ \dfrac{(3x+8) \sin (5x-20)}{4- \sqrt{20-x}}[/tex]
[tex]\sf sub \ x = 4 . bentuk \ \frac{0}{0}, \ kalikan\ akar \ sekawan[/tex]
[tex]\sf lim_{x\to 4}\ \dfrac{(3x+8) \sin 5(x-4)(4+ \sqrt{20-x})}{16- (20-x)}[/tex]
[tex]\sf lim_{x\to 4}\ \dfrac{(3x+8) (4+ \sqrt{20-x}).\sin 5(x-4)}{x- 4}[/tex]
[tex]\sf lim_{x\to 4}\ (3x+8) (4+ \sqrt{20-x}).lim_{x\to 4}\ \dfrac{\sin 5(x-4)}{x- 4}[/tex]
x= 4,
[tex]\sf lim_{x\to 4}\ \{3(4)+8\} (4+ \sqrt{20-4}).(5)[/tex]
[tex]\sf lim_{x\to 4}\ \{20\} (4+ \sqrt{16}).(5) = 20(4+ 4)(5) = 800[/tex]
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