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Popular Calculus >

limit as x approaches 0+of (2/x)^x

Solution

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

Solution

1

Solution steps

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

Apply exponent rules

= x \to 0 + lim (e^{x l n (\frac{2}{x})})

Apply the Limit Chain Rule:

1

= 1

Graph

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Frequently Asked Questions (FAQ)

What is the limit as x approaches 0+of (2/x)^x ?
The limit as x approaches 0+of (2/x)^x is 1