Final answer to the problem
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- 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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Factor the polynomial $2x-12$ by it's greatest common factor (GCF): $2$
Learn how to solve limits by direct substitution problems step by step online.
$\lim_{x\to6}\left(\frac{2\left(x-6\right)}{\sqrt{x-2}-\sqrt{10-x}}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of (2x-12)/((x-2)^(1/2)-(10-x)^(1/2)) as x approaches 6. Factor the polynomial 2x-12 by it's greatest common factor (GCF): 2. Applying rationalisation. Multiplying fractions \frac{2\left(x-6\right)}{\sqrt{x-2}-\sqrt{10-x}} \times \frac{\sqrt{x-2}+\sqrt{10-x}}{\sqrt{x-2}+\sqrt{10-x}}. Solve the product of difference of squares \left(\sqrt{x-2}-\sqrt{10-x}\right)\left(\sqrt{x-2}+\sqrt{10-x}\right).
