Learn how to solve problems step by step online. Find the limit of 1/xln(((1+x)/(1-x))^(1/x)) as x approaches 0. Multiplying the fraction by \ln\left(\left(\frac{1+x}{1-x}\right)^{\frac{1}{x}}\right). Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). Multiplying the fraction by \ln\left(\frac{1+x}{1-x}\right). Divide fractions \frac{\frac{\ln\left(\frac{1+x}{1-x}\right)}{x}}{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}.

Find the limit of 1/xln(((1+x)/(1-x))^(1/x)) as x approaches 0