Solving: $\lim_{x\to0}\left(\frac{\ln\left(\cos\left(x\right)\right)}{\ln\left(x\tan\left(x\right)\right)}\right)$
Exercise
$\lim_{x\to0}\left(\frac{ln\:\cos\left(x\right)}{ln\:tank\left(x\right)}\right)$
Step-by-step Solution
Learn how to solve limits by direct substitution problems step by step online. Find the limit of ln(cos(x))/ln(tan(x)x) as x approaches 0. Evaluate the limit \lim_{x\to0}\left(\frac{\ln\left(\cos\left(x\right)\right)}{\ln\left(x\tan\left(x\right)\right)}\right) by replacing all occurrences of x by 0. The cosine of 0 equals 1. Calculating the tangent of 0 degrees. Multiply 0 times 0.
Find the limit of ln(cos(x))/ln(tan(x)x) as x approaches 0
Final answer to the exercise
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