What is the limit as x approaches 0+of x^{6x} ?

The limit as x approaches 0+of x^{6x} is 1

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limit as x approaches 0+of x^{6x}

x \to 0 + lim (x^{6 x})

1

Solution steps

x \to 0 + lim (x^{6 x})

Apply exponent rules

= x \to 0 + lim (e^{6 x l n (x)})

Apply the Limit Chain Rule:

1

= 1

s

\int 400 - x^{2} d x

5 cos (3 x), 5 sin (6 x), [0, \frac{π}{6}]

cos (t + π)

What is the limit as x approaches 0+of x^{6x} ?
The limit as x approaches 0+of x^{6x} is 1