What is the limit as x approaches 0+of x^{15x} ?

The limit as x approaches 0+of x^{15x} is 1

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limit as x approaches 0+of x^{15x}

x \to 0 + lim (x^{15 x})

1

Solution steps

x \to 0 + lim (x^{15 x})

Apply exponent rules

= x \to 0 + lim (e^{15 x l n (x)})

Apply the Limit Chain Rule:

1

= 1

n = 5 \sum \infty (\frac{4}{5})^{- n}

9 t

f (x) = (x - 1)^{2} + 2, x = - 1, x = 2

\int \frac{5 x ^{2} - 12 x - 12}{x ^{3} - 4 x} d x

\int \frac{2 x ^{5} - x ^{3} - 1}{x ^{3} - 4 x} d x

What is the limit as x approaches 0+of x^{15x} ?
The limit as x approaches 0+of x^{15x} is 1