The numerator $20\sqrt[\phantom{2}]{x}$ is continuous on the interval

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The denominator $\sqrt[\phantom{2}]{20x}$ is continuous and nonzero on the interval

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Part $2$ of $3$

The interval for which the quotient is continuous is the intersection of the above intervals.

Therefore, the quotient $\frac{20\sqrt[\phantom{2}]{x}}{\sqrt[\phantom{2}]{20x}}$ is continuous on the interval

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