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Popular Calculus >

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

Solution

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

Solution

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

Graph

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Frequently Asked Questions (FAQ)

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