Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- 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
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Applying the trigonometric identity: $\cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}$
Learn how to solve limits by direct substitution problems step by step online.
$\lim_{x\to0}\left(\frac{\frac{\cos\left(x\right)}{\sin\left(x\right)}}{\sin\left(x\right)}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of cot(x)/sin(x) as x approaches 0. Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. Divide fractions \frac{\frac{\cos\left(x\right)}{\sin\left(x\right)}}{\sin\left(x\right)} 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}. Evaluate the limit \lim_{x\to0}\left(\frac{\cos\left(x\right)}{\sin\left(x\right)^2}\right) by replacing all occurrences of x by 0. The sine of 0 equals 0.
