What is the limit as x approaches 0+of x^{2x} ?

The limit as x approaches 0+of x^{2x} is 1

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limit as x approaches 0+of x^{2x}

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

1

Solution steps

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

Apply exponent rules

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

Apply the Limit Chain Rule:

1

= 1

\frac{\partial}{\partial t} (e^{t})

n = 2 \sum \infty \frac{x ^{n}}{n}

d y + (3 x^{2} y - x^{2}) d x = 0

\int cos (x + y) d x

s \to 8 + lim (f (s))

What is the limit as x approaches 0+of x^{2x} ?
The limit as x approaches 0+of x^{2x} is 1