What is the limit as x approaches 3 of tan((pix)/4) ?

The limit as x approaches 3 of tan((pix)/4) is -1

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limit as x approaches 3 of tan((pix)/4)

x \to 3 lim (tan (\frac{π x}{4}))

- 1

Solution steps

x \to 3 lim (tan (\frac{π x}{4}))

Plug in the value

x = 3

= tan (\frac{π 3}{4})

Simplify

tan (\frac{π 3}{4}) : - 1

= - 1

x \to 0 lim (x \frac{1}{x})

x \to 0 lim (tan (x) (ln (x)))

x \to 0 lim (x^{2} (ln (x))^{2})

x \to 1 lim (2 - \frac{2}{x})

x \to 0 + lim (5 x^{x})

What is the limit as x approaches 3 of tan((pix)/4) ?
The limit as x approaches 3 of tan((pix)/4) is -1