What is the limit as x approaches 7 of (x^2-49)(((x-7))/(|x-7|)) ?

The limit as x approaches 7 of (x^2-49)(((x-7))/(|x-7|)) is 0

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limit as x approaches 7 of (x^2-49)(((x-7))/(|x-7|))

x \to 7 lim ((x^{2} - 49) (\frac{( x - 7 )}{∣ x - 7 ∣}))

0

Solution steps

x \to 7 lim ((x^{2} - 49) \frac{x - 7}{∣ x - 7 ∣})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 7 - lim ((x^{2} - 49) \frac{x - 7}{∣ x - 7 ∣}) = 0

x \to 7 + lim ((x^{2} - 49) \frac{x - 7}{∣ x - 7 ∣}) = 0

= 0

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x \to 0 - lim (\frac{1}{0})

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What is the limit as x approaches 7 of (x^2-49)(((x-7))/(|x-7|)) ?
The limit as x approaches 7 of (x^2-49)(((x-7))/(|x-7|)) is 0