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- Solve using L'Hôpital's rule
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- Solve the limit using factorization
- Solve the limit using rationalization
- Integrate by partial fractions
- Product of Binomials with Common Term
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Evaluate the limit $\lim_{x\to1}\left(\frac{2x-\sqrt{x^2+3}}{3x-\sqrt{x^2+8}}\right)$ by replacing all occurrences of $x$ by $1$
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$\frac{2\cdot 1-\sqrt{1^2+3}}{3\cdot 1-\sqrt{1^2+8}}$
Learn how to solve problems step by step online. Find the limit of (2x-(x^2+3)^(1/2))/(3x-(x^2+8)^(1/2)) as x approaches 1. Evaluate the limit \lim_{x\to1}\left(\frac{2x-\sqrt{x^2+3}}{3x-\sqrt{x^2+8}}\right) by replacing all occurrences of x by 1. Multiply 3 times 1. Multiply 2 times 1. Calculate the power 1^2.