- #1
Helly123
- 581
- 20
Homework Statement
##\lim x \to \infty \frac{\sqrt{x+1} - \sqrt{x}}{\sqrt{3x + 5} - \sqrt{3x + 1}}##
Homework Equations
The Attempt at a Solution
##\lim x \to \infty {\sqrt{x+1} - \sqrt{x}} * \lim x \to \infty \frac{1}{\sqrt{3x + 5} - \sqrt{3x + 1}}##
##\lim x \to \infty \frac{(x+1) - (x)}{\sqrt{x+1} + \sqrt{x}} * \lim x \to \infty \frac{\sqrt{3x + 5} + \sqrt{3x + 1}}{(3x + 5) - (3x + 1)}##
##\lim x \to \infty \frac{1}{\sqrt{x+1} + \sqrt{x}} * \lim x \to \infty \frac{\sqrt{3x + 5} + \sqrt{3x + 1}}{4}##
##\lim x \to \infty \frac{\sqrt{3x + 5} \ + \ \sqrt{3x + 1}}{4 (\sqrt{x+1} \ + \ \sqrt{x})} ##i still cannot get the right answer, what should I do?
##\lim x \to \infty \frac{\sqrt{3x + 5} \ + \ \sqrt{3x + 1}}{4 (\sqrt{x+1} \ + \ \sqrt{x})} ##i still cannot get the right answer, what should I do?