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- Solve without using l'Hôpital
- Solve using L'Hôpital's rule
- Solve using limit properties
- Solve using direct substitution
- Solve the limit using factorization
- Solve the limit using rationalization
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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Evaluate the limit $\lim_{x\to0}\left(\frac{\ln\left(\sin\left(x\right)\right)}{\ln\left(\sin\left(3x\right)\right)}\right)$ by replacing all occurrences of $x$ by $0$
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$\frac{\ln\left(\sin\left(0\right)\right)}{\ln\left(\sin\left(3\cdot 0\right)\right)}$
Learn how to solve integral calculus problems step by step online. Find the limit of ln(sin(x))/ln(sin(3x)) as x approaches 0. Evaluate the limit \lim_{x\to0}\left(\frac{\ln\left(\sin\left(x\right)\right)}{\ln\left(\sin\left(3x\right)\right)}\right) by replacing all occurrences of x by 0. Multiply 3 times 0. The sine of 0 equals 0. \ln(0) grows unbounded towards minus infinity.