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Combine $\frac{1}{\ln\left(1+x\right)}-1$ in a single fraction
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$\lim_{x\to0}\left(\frac{\frac{1-\ln\left(1+x\right)}{\ln\left(1+x\right)}}{x}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(0)lim((1/ln(1+x)-1)/x). Combine \frac{1}{\ln\left(1+x\right)}-1 in a single fraction. Divide fractions \frac{\frac{1-\ln\left(1+x\right)}{\ln\left(1+x\right)}}{x} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. Evaluate the limit \lim_{x\to0}\left(\frac{1-\ln\left(1+x\right)}{x\ln\left(1+x\right)}\right) by replacing all occurrences of x by 0. Add the values 1 and 0.