Final Answer
Step-by-step Solution
Specify the solving method
Evaluate the limit $\lim_{x\to\infty }\left(\sqrt{x^2+3x}-x\right)$ by replacing all occurrences of $x$ by $\infty $
Learn how to solve limits to infinity problems step by step online.
$\sqrt{\infty ^2+3\cdot \infty }- \infty $
Learn how to solve limits to infinity problems step by step online. Find the limit of (x^2+3x)^1/2-x as x approaches infinity. Evaluate the limit \lim_{x\to\infty }\left(\sqrt{x^2+3x}-x\right) by replacing all occurrences of x by \infty . Infinity to the power of any positive number is equal to infinity, so =\infty. Any expression multiplied by infinity tends to infinity, in other words: \infty\cdot(\pm n)=\pm\infty, if n\neq0. Applying the property of infinity: \infty+\infty=\infty. Remember that both infinities must have the same sign.