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

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

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

x \to - 2 + lim (tan (\frac{π x}{4}))

- \infty

Solution steps

x \to - 2 + lim (tan (\frac{π x}{4}))

Apply the Limit Chain Rule:

- \infty

= - \infty

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

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

x \to 0 lim (- \frac{1}{2 x ^{2}})

x \to 0 lim (\frac{7 x ^{0} e ^{x^{2}}}{4 x ^{2} + 2 \cdot 0 ^{2}})

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

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