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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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Multiplying polynomials $\sqrt{x-1}$ and $2x+3$
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$\lim_{x\to1}\left(\frac{2\sqrt{x-1}x+3\sqrt{x-1}}{2x^2+x-3}\right)$
Learn how to solve problems step by step online. Find the limit of ((2x+3)(x-1)^(1/2))/(2x^2+x+-3) as x approaches 1. Multiplying polynomials \sqrt{x-1} and 2x+3. Applying rationalisation. Multiply and simplify the expression within the limit. The power of a product is equal to the product of it's factors raised to the same power.