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

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

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

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

1

Solution steps

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

Apply exponent rules

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

Apply the Limit Chain Rule:

1

= 1

\int_{5}^{2} (\frac{12 - x ^{3}}{x ^{4}}) d x

(t^{4} - 1)^{9} (t^{3} + 1)^{8}

\frac{d}{d x} (\frac{2 tan ( x )}{1 - tan ^{2} ( x )})

\frac{d ^{2}}{d x ^{2}} (1 - x^{2})

\frac{x}{x + 1}

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