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

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

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

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

sin (1)

Decimal

0.84147 \dots

Solution steps

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

Apply the Limit Chain Rule:

sin (1)

= sin (1)

\frac{( 1 - ln ( x ) )}{11 x ^{2}}

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\int \frac{1}{x} \frac{d}{1} d x

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