What is the limit as x approaches 0 of xln|8x| ?

The limit as x approaches 0 of xln|8x| is 0

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limit as x approaches 0 of xln|8x|

x \to 0 lim (x ln ∣ 8 x ∣)

0

Solution steps

x \to 0 lim (x ln ∣ 8 x ∣)

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

then

x \to a lim f (x) = L

x \to 0 - lim (x ln ∣ 8 x ∣) = 0

x \to 0 + lim (x ln ∣ 8 x ∣) = 0

= 0

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x \to 2 - lim (x^{2} - 4 x + 1)

x \to \frac{π}{4} lim (\frac{1}{2} cos (x))

x \to \infty lim ((1 - (2 x)^{- 1})^{x})

x \to 0 lim (\frac{x ^{2} + 4 x - 5 - 5}{x})

What is the limit as x approaches 0 of xln|8x| ?
The limit as x approaches 0 of xln|8x| is 0