What is the limit as x approaches pi/6 of 2sin(x) ?

The limit as x approaches pi/6 of 2sin(x) is 1

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limit as x approaches pi/6 of 2sin(x)

x \to \frac{π}{6} lim (2 sin (x))

1

Solution steps

x \to \frac{π}{6} lim (2 sin (x))

Plug in the value

x = \frac{π}{6}

= 2 sin (\frac{π}{6})

Simplify

2 sin (\frac{π}{6}) : 1

= 1

What is the limit as x approaches pi/6 of 2sin(x) ?
The limit as x approaches pi/6 of 2sin(x) is 1