Lim X mendekati 0 Sin 2 X per 3 min akar 2 x + 9

Lim X mendekati 0 Sin 2 X per 3 min akar 2 x + 9

Jawab:

Penjelasan dengan langkah-langkah:

soal

$sf lim_{x to 0} frac{sin 2x}{3 - sqrt{2x+9} }$

kali akar sekawan

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

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

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

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

= ( – 1 ) ( 3 + √9)

= - 1 ( 3 + 3)

= – 6