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The limit of a sum of two or more functions is equal to the sum of the limits of each function: $\displaystyle\lim_{x\to c}(f(x)\pm g(x))=\lim_{x\to c}(f(x))\pm\lim_{x\to c}(g(x))$
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$\lim_{x\to1}\left(\frac{1}{x-1}\right)+\lim_{x\to1}\left(\frac{-1}{\ln\left(x\right)}\right)$
Learn how to solve rational equations problems step by step online. Find the limit of 1/(x-1)+-1/ln(x) as x approaches 1. The limit of a sum of two or more functions is equal to the sum of the limits of each function: \displaystyle\lim_{x\to c}(f(x)\pm g(x))=\lim_{x\to c}(f(x))\pm\lim_{x\to c}(g(x)). Evaluate the limit \lim_{x\to1}\left(\frac{1}{x-1}\right) by replacing all occurrences of x by 1. Subtract the values 1 and -1. An expression divided by zero tends to infinity.