What is the limit as x approaches 2pi-of e^{1/x}-x ?

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

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limit as x approaches 2pi-of e^{1/x}-x

x \to 2 π - lim (e^{\frac{1}{x}} - x)

e^{\frac{1}{2 π}} - 2 π

Decimal Notation

- 5.11066 \dots

Solution steps

x \to 2 π - lim (e^{\frac{1}{x}} - x)

Plug in the value

x = 2 π

= e^{\frac{1}{2 π}} - 2 π

x \to - \frac{π}{2} lim (csc (\frac{x}{2}))

ln (1 + 2 x)

y = x 5^{2 x}

\int \frac{x ^{3}}{16 - x ^{2}} d x

8 x

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