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Evaluate the limit $\lim_{x\to\infty }\left(\ln\left(7x\right)-\ln\left(x+2\right)\right)$ by replacing all occurrences of $x$ by $\infty $
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$\ln\left(7\cdot \infty \right)-\ln\left(\infty +2\right)$
Learn how to solve limits to infinity problems step by step online. Find the limit of ln(7x)-ln(x+2) as x approaches infinity. Evaluate the limit \lim_{x\to\infty }\left(\ln\left(7x\right)-\ln\left(x+2\right)\right) by replacing all occurrences of x by \infty . Any expression multiplied by infinity tends to infinity, in other words: \infty\cdot(\pm n)=\pm\infty, if n\neq0. The natural log of infinity is equal to infinity, \lim_{x\to\infty}\ln(x)=\infty. Infinity plus any algebraic expression is equal to infinity.