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

The limit as x approaches-2 of 4xcos(pix) is -8

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limit as x approaches-2 of 4xcos(pix)

x \to - 2 lim (4 x cos (π x))

- 8

Solution steps

x \to - 2 lim (4 x cos (π x))

Plug in the value

x = - 2

= 4 (- 2) cos (π (- 2))

Simplify

4 (- 2) cos (π (- 2)) : - 8

= - 8

x \to - 2 - lim (\frac{3 x - 1}{x + 2})

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

x \to \infty lim (2021)

x \to - 3 lim (7 + x - 1)

x \to 3 lim (\frac{3 x + 1}{x - 2})

What is the limit as x approaches-2 of 4xcos(pix) ?
The limit as x approaches-2 of 4xcos(pix) is -8