What is the limit as x approaches 0+of x^{8sin(x)} ?

The limit as x approaches 0+of x^{8sin(x)} is 1

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limit as x approaches 0+of x^{8sin(x)}

x \to 0 + lim (x^{8 s i n (x)})

1

Solution steps

x \to 0 + lim (x^{8 s i n (x)})

Apply exponent rules

= x \to 0 + lim (e^{8 s i n (x) l n (x)})

Apply the Limit Chain Rule:

1

= 1

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

d e g 2 r a d (x^{'} - 4 x)^{^{'}}

\int \frac{1}{25 e ^{- 8 x} + e ^{8 x}} d x

d er i v a t i v e f (x) = - 4 x^{2} + 7 x - 5

\int (3 - \frac{1}{x ^{4}} + \frac{1}{x ^{2}}) d x

What is the limit as x approaches 0+of x^{8sin(x)} ?
The limit as x approaches 0+of x^{8sin(x)} is 1