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

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

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limit as x approaches 0+of x^{1-cos(x)}

x \to 0 + lim (x^{1 - c o s (x)})

1

Solution steps

x \to 0 + lim (x^{1 - c o s (x)})

Apply exponent rules

= x \to 0 + lim (e^{(1 - c o s (x)) l n (x)})

Apply the Limit Chain Rule:

1

= 1

x \to + 0 + lim (\frac{e ^{x} - 1}{x})

\frac{\partial}{\partial y} (\frac{x z}{x ^{2} + y ^{2}})

\frac{7}{( s - 1 ) ^{3}}

(10 x + y) d x + (x + 2 y) d y = 0

\int 2 e^{7 x} d x

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