What is the limit as x approaches (5pi)/4 of sin(x) ?

The limit as x approaches (5pi)/4 of sin(x) is -(sqrt(2))/2

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limit as x approaches (5pi)/4 of sin(x)

x \to \frac{5 π}{4} lim (sin (x))

- \frac{2}{2}

Decimal Notation

- 0.70710 \dots

Solution steps

x \to \frac{5 π}{4} lim (sin (x))

Plug in the value

x = \frac{5 π}{4}

= sin (\frac{5 π}{4})

Simplify

sin (\frac{5 π}{4}) : - \frac{2}{2}

= - \frac{2}{2}

x \to 1 lim (x e^{x})

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

x \to - \infty lim (e^{x} - 3 x)

x \to 4 lim (7^{x} + 2 x)

x \to π lim (2 cos (x))

What is the limit as x approaches (5pi)/4 of sin(x) ?
The limit as x approaches (5pi)/4 of sin(x) is -(sqrt(2))/2