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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Applying rationalisation
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$\lim_{x\to1}\left(\frac{x-1}{\sqrt{x^2+3}-2}\frac{\sqrt{x^2+3}+2}{\sqrt{x^2+3}+2}\right)$
Learn how to solve problems step by step online. Find the limit of (x-1)/((x^2+3)^(1/2)-2) as x approaches 1. Applying rationalisation. Multiplying fractions \frac{x-1}{\sqrt{x^2+3}-2} \times \frac{\sqrt{x^2+3}+2}{\sqrt{x^2+3}+2}. The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2.. Subtract the values 3 and -4.