What is the limit as x approaches pi/3 of 1-2cos(x) ?

The limit as x approaches pi/3 of 1-2cos(x) is 0

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limit as x approaches pi/3 of 1-2cos(x)

x \to \frac{π}{3} lim (1 - 2 cos (x))

0

Solution steps

x \to \frac{π}{3} lim (1 - 2 cos (x))

Plug in the value

x = \frac{π}{3}

= 1 - 2 cos (\frac{π}{3})

Simplify

1 - 2 cos (\frac{π}{3}) : 0

= 0

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

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

x \to 2 lim (3 + x - 2)

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

x \to \frac{1}{3} lim (ln (x))

What is the limit as x approaches pi/3 of 1-2cos(x) ?
The limit as x approaches pi/3 of 1-2cos(x) is 0