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

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

\int 3 e^{x} + 7 sec^{2} (x) d x

\frac{d}{d x} (\frac{e ^{x}}{e ^{x} + e ^{y}})

x \to - 2 lim (x)

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