What is the limit as x approaches 0+of (sin(x))^{2x} ?

The limit as x approaches 0+of (sin(x))^{2x} is 1

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limit as x approaches 0+of (sin(x))^{2x}

x \to 0 + lim ((sin (x))^{2 x})

1

Solution steps

x \to 0 + lim ((sin (x))^{2 x})

Apply exponent rules

= x \to 0 + lim (e^{2 x l n (s i n (x))})

Apply the Limit Chain Rule:

1

= 1

\int_{1}^{3} ln (x) d x

\frac{\partial}{\partial x} (e^{- a x})

\frac{d}{d x} (x^{2} + y^{2} - 25)

\frac{\partial}{\partial x} (3 e^{5 x})

y^{^{''}} - 2 y + y = 12 e^{3 t}

What is the limit as x approaches 0+of (sin(x))^{2x} ?
The limit as x approaches 0+of (sin(x))^{2x} is 1