What is the limit as x approaches 0 of cos^x(x) ?

The limit as x approaches 0 of cos^x(x) is 1

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limit as x approaches 0 of cos^x(x)

x \to 0 lim (cos^{x} (x))

1

Solution steps

x \to 0 lim (cos^{x} (x))

Plug in the value

x = 0

= cos^{0} (0)

Simplify

= 1

x \to a lim (x^{2} - 2 a x + a^{2})

x \to 3 lim (\frac{x}{2})

x \to 0 lim (\frac{x + 2}{x ^{3}})

x \to 1 lim ((x^{2} - 3 x)^{6})

x \to 3 lim (\frac{4 - 3 x}{x - 3})

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