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

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

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

x \to \frac{π}{3} - lim (1 - cos (3 x))

2

Solution steps

x \to \frac{π}{3} - lim (1 - cos (3 x))

Plug in the value

x = \frac{π}{3}

= 1 - cos (3 \cdot \frac{π}{3})

Simplify

1 - cos (3 \cdot \frac{π}{3}) : 2

= 2

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

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

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

x \to 3 lim (\frac{x ^{3} - 3 x}{x})

x \to 0 lim (\frac{csc ( 7 x )}{csc ( 3 x )})

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