What is the limit as x approaches 2 of tan^2(pi/8 x) ?

The limit as x approaches 2 of tan^2(pi/8 x) is 1

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limit as x approaches 2 of tan^2(pi/8 x)

x \to 2 lim (tan^{2} (\frac{π}{8} x))

1

Solution steps

x \to 2 lim (tan^{2} (\frac{π}{8} x))

Plug in the value

x = 2

= tan^{2} (\frac{π}{8} \cdot 2)

Simplify

tan^{2} (\frac{π}{8} \cdot 2) : 1

= 1

x \to 0 lim (tan^{2} (7 x))

x \to - \infty lim (3^{x} \cdot x)

x \to h lim (cot (x - h))

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

x \to 2 lim (\frac{2 - x}{4 - 2 x})

What is the limit as x approaches 2 of tan^2(pi/8 x) ?
The limit as x approaches 2 of tan^2(pi/8 x) is 1