Lim x → ∞ ((2+1) - √4x²+2x-2)

Lim x → ∞ ((2+1) – √4x²+2x-2)

Jawab:

$frac{1}{2}$

Penjelasan dengan langkah-langkah:

$begin{aligned}lim_{x to infty} (2x+1)-sqrt{4x^{2}+2x-2}&=lim_{x to infty} sqrt{(2x+1)^{2}}-sqrt{4x^{2}+2x-2}\&=lim_{x to infty} sqrt{4x^{2}+4x+1}-sqrt{4x^{2}+2x-2}\&=frac{4-2}{2sqrt{4}}\&=frac{2}{2.2}=frac{1}{2}end{aligned}$