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

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

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

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

1

Solution steps

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

Apply exponent rules

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

Apply the Limit Chain Rule:

1

= 1

y = 9 x - 2 x^{2}, (- 3, - 45)

(1 - y sin (x)) d x + (cos (x)) d y = 0

(5 - 2 x)^{- 2}

y^{^{'}} + a y = b

\frac{d}{d x} (\frac{14 x + x ^{2}}{( 7 + x ) ^{2}})

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