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))

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

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

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

= 1

sin^{2} (y) d x + cos^{2} (x) d y = 0

x \to - 5 lim (2 x + 3)

\frac{1 + e ^{- π s}}{s ^{2} + 1}

f (x) = 2 sec (x), at x = \frac{π}{3}

e^{3 s}

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