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Find the limit of $\left(\frac{x^2-5}{x^2+7}\right)^{\frac{2x^2+3}{4}}$ as $x$ approaches $3$

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Final Answer

0.000691

Step-by-step Solution

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Evaluate the limit $\lim_{x\to3}\left(\left(\frac{x^2-5}{x^2+7}\right)^{\frac{2x^2+3}{4}}\right)$ by replacing all occurrences of $x$ by $3$

$\left(\frac{3^2-5}{3^2+7}\right)^{\frac{2\cdot 3^2+3}{4}}$

Learn how to solve limits of exponential functions problems step by step online.

$\left(\frac{3^2-5}{3^2+7}\right)^{\frac{2\cdot 3^2+3}{4}}$

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Learn how to solve limits of exponential functions problems step by step online. Find the limit of ((x^2-5)/(x^2+7))^((2x^2+3)/4) as x approaches 3. Evaluate the limit \lim_{x\to3}\left(\left(\frac{x^2-5}{x^2+7}\right)^{\frac{2x^2+3}{4}}\right) by replacing all occurrences of x by 3. Calculate the power 3^2. Add the values 9 and 7. Calculate the power 3^2.

Final Answer

0.000691

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Function Plot

Plotting: $\left(\frac{x^2-5}{x^2+7}\right)^{\frac{2x^2+3}{4}}$

Main Topic: Limits of Exponential Functions

Those are limits of expressions of the form f(x)^g(x).

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