What is the limit as x approaches 0 of x*cotan(2pix) ?

The limit as x approaches 0 of x*cotan(2pix) is 0

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limit as x approaches 0 of x*cotan(2pix)

x \to 0 lim (x \cdot co tan (2 π x))

0

Solution steps

x \to 0 lim (x co tan (2 π x))

Plug in the value

x = 0

= 0 \cdot co tan (2 π 0)

Simplify

0 \cdot co tan (2 π 0) : 0

= 0

\frac{d}{d x} (\frac{x ^{2} + x + 1}{x})

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What is the limit as x approaches 0 of x*cotan(2pix) ?
The limit as x approaches 0 of x*cotan(2pix) is 0