Final answer to the problem
Step-by-step Solution
How should I solve this 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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Evaluate the limit $\lim_{x\to2}\left(\frac{1-\sqrt{3-\sqrt{x+2}}}{\sqrt{x-1}-1}\right)$ by replacing all occurrences of $x$ by $2$
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$\frac{1-\sqrt{3-\sqrt{2+2}}}{\sqrt{2-1}-1}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of (1-(3-(x+2)^(1/2))^(1/2))/((x-1)^(1/2)-1) as x approaches 2. Evaluate the limit \lim_{x\to2}\left(\frac{1-\sqrt{3-\sqrt{x+2}}}{\sqrt{x-1}-1}\right) by replacing all occurrences of x by 2. Subtract the values 2 and -1. Add the values 2 and 2. Calculate the power \sqrt{1}.