Find the limit of $x^8-\sqrt{x^{16}+9x^8}$ as $x$ approaches 0

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Final answer to the problem

0

Step-by-step Solution

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Evaluate the limit $\lim_{x\to0}\left(x^8-\sqrt{x^{16}+9x^8}\right)$ by replacing all occurrences of $x$ by $0$

$0^8-\sqrt{0^{16}+9\cdot 0^8}$

Learn how to solve limits by direct substitution problems step by step online.

$0^8-\sqrt{0^{16}+9\cdot 0^8}$

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Learn how to solve limits by direct substitution problems step by step online. Find the limit of x^8-(x^16+9x^8)^(1/2) as x approaches 0. Evaluate the limit \lim_{x\to0}\left(x^8-\sqrt{x^{16}+9x^8}\right) by replacing all occurrences of x by 0. Calculate the power 0^8. Multiply 9 times 0. Add the values 0 and 0.

Final answer to the problem

0

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Function Plot

Plotting: $x^8-\sqrt{x^{16}+9x^8}$

Main Topic: Limits by Direct Substitution

Find limits of functions at a specific point by directly plugging the value into the function.

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