What is the limit as x approaches pi of 2^{cos(x)} ?

The limit as x approaches pi of 2^{cos(x)} is 1/2

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limit as x approaches pi of 2^{cos(x)}

x \to π lim (2^{c o s (x)})

\frac{1}{2}

Decimal Notation

0.5

Solution steps

x \to π lim (2^{c o s (x)})

Plug in the value

x = π

= 2^{c o s (π)}

Simplify

2^{c o s (π)} : \frac{1}{2}

= \frac{1}{2}

x \to 5 - lim (\frac{x - 1}{2 x - 10})

x \to 1 lim (\frac{x - 1}{1 - \frac{1}{x}})

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

x \to - 2 lim (\frac{1}{4 - x ^{2}})

x \to 4 lim (\frac{3 x ^{2} - 17 x + 20}{4 x ^{2} - 25 + 36})

What is the limit as x approaches pi of 2^{cos(x)} ?
The limit as x approaches pi of 2^{cos(x)} is 1/2