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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 $\sqrt{x}$ and $\sqrt{3x+1}+\sqrt{5x+1}-\sqrt{8x+2}$
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$\lim_{x\to\infty }\left(\sqrt{x}\sqrt{3x+1}+\sqrt{x}\left(\sqrt{5x+1}-\sqrt{8x+2}\right)\right)$
Learn how to solve problems step by step online. Find the limit of x^(1/2)((3x+1)^(1/2)+(5x+1)^(1/2)-(8x+2)^(1/2)) as x approaches infinity. Multiplying polynomials \sqrt{x} and \sqrt{3x+1}+\sqrt{5x+1}-\sqrt{8x+2}. 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.