What is the limit as x approaches 0+of x^{13x} ?

The limit as x approaches 0+of x^{13x} is 1

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limit as x approaches 0+of x^{13x}

x \to 0 + lim (x^{13 x})

1

Solution steps

x \to 0 + lim (x^{13 x})

Apply exponent rules

= x \to 0 + lim (e^{13 x l n (x)})

Apply the Limit Chain Rule:

1

= 1

x \to 4 lim (6)

\frac{\partial}{\partial y} (2 y - \frac{3}{y ^{2}} + x)

\int \frac{x ^{4} + 3 x}{x ^{2}} d x

\frac{e ^{x^{2}}}{e ^{x}}

f (x) = e^{x} sin^{2} (x)

What is the limit as x approaches 0+of x^{13x} ?
The limit as x approaches 0+of x^{13x} is 1