## anonymous 4 years ago limit of x---> infinity (x + 2)/sqrt(49x^2 + 1)

1. anonymous

forget the 1 under the square root, the 2 in the numerator, and compute $\frac{x}{\sqrt{49x^2}}$

2. anonymous

$\lim_{x \rightarrow \infty}\frac{(x+2)}{\sqrt{49x ^{2}+1}}$$\lim_{x \rightarrow \infty}\frac{\frac{(x+2)}{x}}{\frac{\sqrt{49x ^{2}+1}}{x}}$$\lim_{x \rightarrow \infty}\frac{1+\frac{2}{x}}{\sqrt{49+\frac{1}{x ^{2}}}}$Reaplace the value infinite:$\frac{1+0}{\sqrt{49+ 0}}$$\frac{1}{7}$

3. anonymous

that will work for sure, but $\frac{x}{\sqrt{49x^2}}=\frac{1}{7}$ is somewhat quicker

4. anonymous

thats true :)