Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Solve the limit using rationalization
- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- Solve using limit properties
- Solve using direct substitution
- Solve the limit using factorization
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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Simplifying
Learn how to solve limits by direct substitution problems step by step online.
$\lim_{x\to2}\left(\frac{\sqrt{x}-\sqrt{2}}{x-2}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of (x^1/2-2^1/2)/(x-2) as x approaches 2. Simplifying. Simplify the fraction \frac{\sqrt{x}-\sqrt{2}}{x-2}. Evaluate the limit \lim_{x\to2}\left(\frac{1}{\sqrt{x}+\sqrt{2}}\right) by replacing all occurrences of x by 2. Calculate the power \sqrt{2}.