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

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

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

x \to 2 π lim (e^{c o s (x)})

e

Decimal

2.71828 \dots

Solution steps

x \to 2 π lim (e^{c o s (x)})

Plug in the value

x = 2 π

= e^{c o s (2 π)}

Simplify

e^{c o s (2 π)} : e

= e

x \to 3 lim (5 x^{2} + 4)

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

x \to 2 lim (x^{5} - 2 x^{4} + x - 7)

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

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

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