What is the limit as x approaches pi/4 of 2sin(3x) ?

The limit as x approaches pi/4 of 2sin(3x) is square root of 2

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limit as x approaches pi/4 of 2sin(3x)

x \to \frac{π}{4} lim (2 sin (3 x))

2

Decimal Notation

1.41421 \dots

Solution steps

x \to \frac{π}{4} lim (2 sin (3 x))

Plug in the value

x = \frac{π}{4}

= 2 sin (3 \cdot \frac{π}{4})

Simplify

2 sin (3 \cdot \frac{π}{4}) : 2

= 2

\frac{d}{d x} ((1 - x^{4})^{3})

\int 6 x + 4 d x

\frac{\partial}{\partial x} (3 y - (x^{2} + 1))

\frac{\partial}{\partial y} (1 - \frac{3}{y} + x)

What is the limit as x approaches pi/4 of 2sin(3x) ?
The limit as x approaches pi/4 of 2sin(3x) is square root of 2