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

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

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

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

tan (1)

Decimal Notation

1.55740 \dots

Solution steps

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

Apply the Limit Chain Rule:

tan (1)

= tan (1)

x \to 1 lim ((x^{2} - 4) (x - 3))

x \to 0 - lim ((x - 5) e^{\frac{1}{x}})

x \to 0 lim (\frac{2 x}{x + 1})

x \to 1 lim (x^{2} - 3 x + 5)

x \to - 1 lim (2 x^{3} - 5 x)

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