What is the limit as x approaches 0 of xln|5x| ?

The limit as x approaches 0 of xln|5x| is 0

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limit as x approaches 0 of xln|5x|

x \to 0 lim (x ln ∣ 5 x ∣)

0

Solution steps

x \to 0 lim (x ln ∣ 5 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 ∣ 5 x ∣) = 0

x \to 0 + lim (x ln ∣ 5 x ∣) = 0

= 0

x \to \infty lim (30)

x \to 0 lim (\frac{2 ∣ x ∣}{x})

x \to a lim (x^{2} + x)

x \to 5 + lim (\frac{2}{( x - 5 ) ^{3}})

θ \to 0 lim (\frac{sin ( 5 θ )}{θ})

What is the limit as x approaches 0 of xln|5x| ?
The limit as x approaches 0 of xln|5x| is 0