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Popular >

limit as x approaches 0 of |x|^x

Solution

x \to 0 lim (∣ x ∣^{x})

Solution

1

Solution steps

x \to 0 lim (∣ x ∣^{x})

If

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 ∣^{x}) = 1

x \to 0 + lim (∣ x ∣^{x}) = 1

= 1

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Frequently Asked Questions (FAQ)

What is the limit as x approaches 0 of |x|^x ?
The limit as x approaches 0 of |x|^x is 1