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

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

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

x \to \frac{π}{2} lim (sin (3 x))

- 1

Solution steps

x \to \frac{π}{2} lim (sin (3 x))

Plug in the value

x = \frac{π}{2}

= sin (3 \cdot \frac{π}{2})

Simplify

sin (3 \cdot \frac{π}{2}) : - 1

= - 1

x \to 39 lim (- x^{22} x + 1)

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

x \to 0 + lim ((1 - 4 x)^{\frac{8}{x}})

x \to 2 lim (\frac{3 x}{2 - x})

x \to 0 lim (5^{x} + x^{5})

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