Lim┬(x→0)⁡〖3x/((√(9+x))-(√(9-x)))

Lim┬(x→0)⁡〖3x/((√(9+x))-(√(9-x)))

Jawaban Terkonfirmasi

$lim_{x to 0} frac{3x}{ sqrt{9+x},,-sqrt{9-x}}$

$= lim_{x to 0} frac{3x}{ sqrt{9+x},,-sqrt{9-x}} times frac{sqrt{9+x},,+sqrt{9-x}}{sqrt{9+x},,+sqrt{9-x}}$

$= lim_{x to 0} frac{(3x)(sqrt{9+x},,+sqrt{9-x})}{(9+x),,-(9-x)}$

$= lim_{x to 0} frac{(3x)(sqrt{9+x},,+sqrt{9-x})}{9+x-9+x}$

$= lim_{x to 0} frac{(3x)(sqrt{9+x},,+sqrt{9-x})}{2x}$

$= lim_{x to 0} frac{3(sqrt{9+x},,+sqrt{9-x})}{2}$

$= frac{3(sqrt{9+0},,+sqrt{9-0})}{2}$

$= frac{3(sqrt{9},,+sqrt{9})}{2}$

$= frac{3(3+3)}{2}$

$= frac{3(6)}{2}$

$= frac{18}{2}$

$= 9$

Jawabannya 9. cara ada di gambar berikut

Gambar Jawaban