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

The limit as t approaches x/2 of (sin(t))/t is (2sin(x/2))/x

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limit as t approaches x/2 of (sin(t))/t

t \to \frac{x}{2} lim (\frac{sin ( t )}{t})

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

Solution steps

t \to \frac{x}{2} lim (\frac{sin ( t )}{t})

Plug in the value

t = \frac{x}{2}

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

Simplify

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

(- 3.5) (4.3)

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

\frac{s + 2}{s ^{2} + 2 s + 2}

x \to - 4 lim (7 - x)

\int_{- 2}^{2} x^{3} cos (\frac{x}{2}) d x

What is the limit as t approaches x/2 of (sin(t))/t ?
The limit as t approaches x/2 of (sin(t))/t is (2sin(x/2))/x