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
- Load more...
Applying rationalisation
Learn how to solve limits by rationalizing problems step by step online.
$\lim_{x\to{\frac{\pi }{3}}}\left(\frac{\sin\left(x\right)-\sqrt{3}\cos\left(x\right)}{1-2\cos\left(x\right)}\frac{\sin\left(x\right)+\sqrt{3}\cos\left(x\right)}{\sin\left(x\right)+\sqrt{3}\cos\left(x\right)}\right)$
Learn how to solve limits by rationalizing problems step by step online. Find the limit of (sin(x)-*3^(1/2)cos(x))/(1-2cos(x)) as x approaches pi/3. Applying rationalisation. Multiply and simplify the expression within the limit. The power of a product is equal to the product of it's factors raised to the same power. Multiply -1 times 3.