What is the limit as θ approaches x/2 of 9θsin(θ) ?

The limit as θ approaches x/2 of 9θsin(θ) is 9/2 xsin(x/2)

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limit as θ approaches x/2 of 9θsin(θ)

θ \to \frac{x}{2} lim (9 θ sin (θ))

\frac{9}{2} x sin (\frac{x}{2})

Solution steps

θ \to \frac{x}{2} lim (9 θ sin (θ))

Plug in the value

θ = \frac{x}{2}

= 9 \cdot \frac{x}{2} sin (\frac{x}{2})

Simplify

9 \cdot \frac{x}{2} sin (\frac{x}{2}) : \frac{9}{2} x sin (\frac{x}{2})

= \frac{9}{2} x sin (\frac{x}{2})

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x \to - 4 lim ((10 x + 36)^{3})

What is the limit as θ approaches x/2 of 9θsin(θ) ?
The limit as θ approaches x/2 of 9θsin(θ) is 9/2 xsin(x/2)