What is the limit as x approaches pi/3 of 2sin(5x) ?

The limit as x approaches pi/3 of 2sin(5x) is -sqrt(3)

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limit as x approaches pi/3 of 2sin(5x)

x \to \frac{π}{3} lim (2 sin (5 x))

- 3

Decimal Notation

- 1.73205 \dots

Solution steps

x \to \frac{π}{3} lim (2 sin (5 x))

Plug in the value

x = \frac{π}{3}

= 2 sin (5 \cdot \frac{π}{3})

Simplify

2 sin (5 \cdot \frac{π}{3}) : - 3

= - 3

x \to 2 lim (3 x^{3} + 8 x - 4)

x \to 4 lim (x^{2} + x)

x \to 1 - lim ((1 - x) ln (1 - x))

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

x \to 0 lim ((1 - x)^{x})

What is the limit as x approaches pi/3 of 2sin(5x) ?
The limit as x approaches pi/3 of 2sin(5x) is -sqrt(3)