What is the limit as x approaches 0+of x^{3x} ?

The limit as x approaches 0+of x^{3x} is 1

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limit as x approaches 0+of x^{3x}

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

1

Solution steps

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

Apply exponent rules

= x \to 0 + lim (e^{3 x l n (x)})

Apply the Limit Chain Rule:

1

= 1

y = \frac{2}{x}

y = \frac{13}{ln ( x )}

\int sin (t) cos^{2} (t) d t

x \to 0 lim (x^{3} + 2 x^{2} - 4 x + 4)

f (x) = 7 e^{0.03 x}, at x = 9

What is the limit as x approaches 0+of x^{3x} ?
The limit as x approaches 0+of x^{3x} is 1