What is the limit as x approaches (3pi)/4+of 2tan(2x) ?

The limit as x approaches (3pi)/4+of 2tan(2x) is -infinity

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limit as x approaches (3pi)/4+of 2tan(2x)

x \to \frac{3 π}{4} + lim (2 tan (2 x))

- \infty

Solution steps

x \to \frac{3 π}{4} + lim (2 tan (2 x))

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= 2 \cdot x \to \frac{3 π}{4} + lim (tan (2 x))

Apply the Limit Chain Rule:

- \infty

= 2 (- \infty)

Apply Infinity Property:

c \cdot (- \infty) = - \infty

= - \infty

x \to 0 lim ([1 - \frac{∣ x ∣}{x}])

x \to 5 lim (\frac{x + 2}{2 x - 4})

x \to 0 lim (3 x^{3} + 2 x^{2} + x)

x \to 0 lim (tan (x) + \frac{π}{4})

x \to 3 lim (3 x + 6)

What is the limit as x approaches (3pi)/4+of 2tan(2x) ?
The limit as x approaches (3pi)/4+of 2tan(2x) is -infinity