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

The limit as x approaches pi/6 of 2-sin(x) is 3/2

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

x \to \frac{π}{6} lim (2 - sin (x))

\frac{3}{2}

Decimal

1.5

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}) : \frac{3}{2}

= \frac{3}{2}

x \to 5 - lim (\frac{x ^{2} + 1}{x - 5})

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

h \to 0 lim (0)

h \to 0 lim (\frac{4 h - h ^{2}}{2 h})

x \to \infty lim (\frac{72}{x})

What is the limit as x approaches pi/6 of 2-sin(x) ?
The limit as x approaches pi/6 of 2-sin(x) is 3/2