What is the limit as x approaches 0+of x^{18x} ?

The limit as x approaches 0+of x^{18x} is 1

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limit as x approaches 0+of x^{18x}

x \to 0 + lim (x^{18 x})

1

Solution steps

x \to 0 + lim (x^{18 x})

Apply exponent rules

= x \to 0 + lim (e^{18 x l n (x)})

Apply the Limit Chain Rule:

1

= 1

x \to 0 lim (e^{- x} - 1)

x \to \frac{π}{2} - lim (sin (x))

x \to 0 lim (\frac{1}{x ^{2} + 3 x})

x \to 1 + lim ((8 x + \frac{2}{x})^{5})

x \to - 7 + lim (\frac{x + 7}{∣ x + 7 ∣})

What is the limit as x approaches 0+of x^{18x} ?
The limit as x approaches 0+of x^{18x} is 1