What is the limit as x approaches 0+of (tan(x))^x ?

The limit as x approaches 0+of (tan(x))^x is 1

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limit as x approaches 0+of (tan(x))^x

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

1

Solution steps

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

Apply exponent rules

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

Apply the Limit Chain Rule:

1

= 1

2 t^{4}

\int \frac{1}{x x ^{2} + 4} d x

f (x) = \frac{x}{9 - x}

\int 9 x 1 - x^{4} d x

\frac{\partial}{\partial x} (ln (x^{2} + y^{2} + 8))

What is the limit as x approaches 0+of (tan(x))^x ?
The limit as x approaches 0+of (tan(x))^x is 1