Final answer to the problem
$c-f$
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Step-by-step Solution
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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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1
Multiplying polynomials $\sqrt{x}$ and $\sqrt{x+13}-\sqrt{x+3}$
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$\lim_{x\to\infty }\left(\sqrt{x}\sqrt{x+13}-\sqrt{x}\sqrt{x+3}\right)$
Learn how to solve problems step by step online. Find the limit of x^(1/2)((x+13)^(1/2)-(x+3)^(1/2)) as x approaches infinity. Multiplying polynomials \sqrt{x} and \sqrt{x+13}-\sqrt{x+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.
Final answer to the problem
$c-f$
