Nilai limit plis dibantu pakai cara ya terima kasih

Nilai limit
plis dibantu pakai cara ya terima kasih

Nilai limit
plis dibantu pakai cara ya terima kasih

$lim_{x to 4} frac{5-sqrt{x^2+9}}{4-x} \ = lim_{x to 4} frac{5-sqrt{x^2+9}}{4-x} times frac{5+sqrt{x^2+9}}{5+sqrt{x^2+9}}\ = lim_{x to 4} frac{25 - (x^2+9)}{(4-x)(5+sqrt{x^2+9})}\ = lim_{x to 4} frac{16-x^2}{(4-x)(5+sqrt{x^2+9})}\ = lim_{xto 4} frac{(4-x)(4+x)}{(4-x)(5+sqrt{x^2+9})}\ = lim_{xto 4} frac{4+x}{5+sqrt{x^2+9}}\ = frac{4+4}{5+sqrt{4^2+9}}\ = frac{8}{5+sqrt{25}}\ = frac{8}{10} \ = frac{4}{5}$