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Evaluate the limit $\lim_{x\to0}\left(\frac{\ln\left(x+y\right)-\ln\left(y\right)}{x}\right)$ by replacing all occurrences of $x$ by $0$
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$\frac{\ln\left(0+y\right)-\ln\left(y\right)}{0}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(0)lim((ln(x+y)-ln(y))/x). Evaluate the limit \lim_{x\to0}\left(\frac{\ln\left(x+y\right)-\ln\left(y\right)}{x}\right) by replacing all occurrences of x by 0. x+0=x, where x is any expression. Cancel like terms \ln\left(y\right) and -\ln\left(y\right). \frac{0}{0} represents an indeterminate form.