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Find the limit of $\frac{\sqrt{2x}+\sqrt{x}+\sqrt{x}}{\sqrt{x\sqrt{x}\cdot \sqrt{x}}}$ as $x$ approaches $\infty $

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Final Answer

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Combining like terms $\sqrt{x}$ and $\sqrt{x}$

$\lim_{x\to\infty }\left(\frac{\sqrt{2x}+2\sqrt{x}}{\sqrt{x\sqrt{x}\cdot \sqrt{x}}}\right)$

Learn how to solve limits to infinity problems step by step online.

$\lim_{x\to\infty }\left(\frac{\sqrt{2x}+2\sqrt{x}}{\sqrt{x\sqrt{x}\cdot \sqrt{x}}}\right)$

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Learn how to solve limits to infinity problems step by step online. Find the limit of ((2x)^1/2+x^1/2x^1/2)/((xx^1/2x^1/2)^1/2) as x approaches infinity. Combining like terms \sqrt{x} and \sqrt{x}. When multiplying exponents with same base we can add the exponents. When multiplying two powers that have the same base (x), you can add the exponents. Cancel exponents 2 and \frac{1}{2}.

Final Answer

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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Main Topic: Limits to Infinity

The limit of a function f(x) when x tends to infinity is the value that the function takes as the value of x grows indefinitely.

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