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Step-by-step Solution

Find the limit of $\frac{\sqrt{10-x}-4}{x+6}$ as $x$ approaches $-6$

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Solution

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Step-by-step explanation

Problem to solve:

$\lim_{x\to-6}\left(\frac{\sqrt{10-x}-4}{x+6}\right)$

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Answer

indeterminate

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Problem Analysis

$\lim_{x\to-6}\left(\frac{\sqrt{10-x}-4}{x+6}\right)$

Main topic:

Limits

Time to solve it:

~ 1.13 seconds

Related topics:

LimitsRationalisationLimits by rationalizingBinomial conjugatesFactor by difference of squares

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