Prove that: \(\lim_{x \to \infty} \sqrt{x}\left(\sqrt{x+a}… – bitm Basic Mathematics 2024 Solved

bitm Basic Mathematics · 2024 · Solved Question with Answer

Prove that: \(\lim_{x \to \infty} \sqrt{x}\left(\sqrt{x+a} - \sqrt{x}\right) = \frac{a}{2}\)

Solution

Prove that: \(\lim_{x \to \infty} \sqrt{x}\left(\sqrt{x+a} - \sqrt{x}\right) = \frac{a}{2}\)