What is the limit as x approaches 0 of tan(pix) ?

The limit as x approaches 0 of tan(pix) is 0

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limit as x approaches 0 of tan(pix)

x \to 0 lim (tan (π x))

0

Solution steps

x \to 0 lim (tan (π x))

Plug in the value

x = 0

= tan (π 0)

Simplify

tan (π 0) : 0

= 0

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What is the limit as x approaches 0 of tan(pix) ?
The limit as x approaches 0 of tan(pix) is 0