What is the limit as x approaches 0+of x^{21x} ?

The limit as x approaches 0+of x^{21x} is 1

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limit as x approaches 0+of x^{21x}

x \to 0 + lim (x^{21 x})

1

Solution steps

x \to 0 + lim (x^{21 x})

Apply exponent rules

= x \to 0 + lim (e^{21 x l n (x)})

Apply the Limit Chain Rule:

1

= 1

\frac{\partial}{\partial y} (\frac{3 y ^{2} - t ^{2}}{y ^{5}})

\frac{d}{d x} ((x^{2} + 1)^{8})

\frac{( 2 s + 1 )}{s ( 2 s + 10 )}

\int 8 e^{3 x + e^{3 x}} d x

\frac{d}{d x} (b cos (x))

What is the limit as x approaches 0+of x^{21x} ?
The limit as x approaches 0+of x^{21x} is 1