Nilai lim x->3 2 - akar x+1/x-3

Nilai lim x->3 2 – akar x+1/x-3

Jawab:

-1/4

Penjelasan dengan langkah-langkah:

$= lim_{x to 3} frac{2-sqrt{x+1}}{x-3}.frac{2+sqrt{x+1}}{2+sqrt{x+1}}\\= lim_{x to 3} frac{4-x-1}{(x-3)(2+sqrt{x+1})}\\= lim_{x to 3} frac{3-x}{(x-3)(2+sqrt{x+1})}\\= lim_{x to 3} frac{-1}{2+sqrt{x+1}}\\=frac{-1}{2+sqrt{3+1}}\\=-frac{1}{4}$