Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Solve using direct substitution
- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- Solve using limit properties
- 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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Apply the trigonometric identity: $\frac{\csc\left(x\right)}{\csc\left(y\right)}$$=\frac{\sin\left(y\right)}{\sin\left(x\right)}$, where $y=2x$
Learn how to solve limits by direct substitution problems step by step online.
$\lim_{x\to0}\left(\frac{\sin\left(2x\right)}{\sin\left(x\right)}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of csc(x)/csc(2x) as x approaches 0. Apply the trigonometric identity: \frac{\csc\left(x\right)}{\csc\left(y\right)}=\frac{\sin\left(y\right)}{\sin\left(x\right)}, where y=2x. Evaluate the limit \lim_{x\to0}\left(\frac{\sin\left(2x\right)}{\sin\left(x\right)}\right) by replacing all occurrences of x by 0. Multiply 2 times 0. The sine of 0 equals 0.