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

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

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

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

1

Solution steps

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

Apply exponent rules

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

Apply the Limit Chain Rule:

1

= 1

\frac{\partial}{\partial x} (y^{5} - 3 x y)

x^{^{''}} + 4 x^{^{'}} + 4 x = 0

\frac{60 t + 180}{t + 6}

\int_{2}^{3} \frac{x}{x ^{2} + 1} d x

\frac{d}{d x} (x ln (y))

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