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The limit of a logarithm is equal to the logarithm of the limit
Learn how to solve limits to infinity problems step by step online.
$\ln\left(\lim_{x\to\infty }\left(\frac{x+1}{x}\right)\right)$
Learn how to solve limits to infinity problems step by step online. Find the limit of ln((x+1)/x) as x approaches infinity. The limit of a logarithm is equal to the logarithm of the limit. As it's an indeterminate limit of type \frac{\infty}{\infty}, divide both numerator and denominator by the term of the denominator that tends more quickly to infinity (the term that, evaluated at a large value, approaches infinity faster). In this case, that term is . Separate the terms of both fractions. Simplify the fraction .