What is the limit as x approaches-2 of tan((pix)/4) ?

The limit as x approaches-2 of tan((pix)/4) is diverges

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limit as x approaches-2 of tan((pix)/4)

x \to - 2 lim (tan (\frac{π x}{4}))

diverges

Solution steps

x \to - 2 lim (tan (\frac{π x}{4}))

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to - 2 + lim (tan (\frac{π x}{4})) = - \infty

x \to - 2 - lim (tan (\frac{π x}{4})) = \infty

= diverges

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What is the limit as x approaches-2 of tan((pix)/4) ?
The limit as x approaches-2 of tan((pix)/4) is diverges