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Evaluate the limit $\lim_{x\to0}\left(\frac{\ln\left(\sin\left(x\right)\right)}{\ln\left(\tan\left(x\right)\right)}\right)$ by replacing all occurrences of $x$ by $0$
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$\frac{\ln\left(\sin\left(0\right)\right)}{\ln\left(\tan\left(0\right)\right)}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(0)lim(ln(sin(x))/ln(tan(x))). Evaluate the limit \lim_{x\to0}\left(\frac{\ln\left(\sin\left(x\right)\right)}{\ln\left(\tan\left(x\right)\right)}\right) by replacing all occurrences of x by 0. The sine of 0 equals 0. \ln(0) grows unbounded towards minus infinity. Calculating the tangent of 0 degrees.