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

The limit as x approaches pi/2 of tan(x/2) is 1

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limit as x approaches pi/2 of tan(x/2)

x \to \frac{π}{2} lim (tan (\frac{x}{2}))

1

Solution steps

x \to \frac{π}{2} lim (tan (\frac{x}{2}))

Plug in the value

x = \frac{π}{2}

= tan (\frac{\frac{π}{2}}{2})

Simplify

tan (\frac{\frac{π}{2}}{2}) : 1

= 1

\frac{d}{d x} (f (x) (1 x^{2} - 1))

tan (x)

\frac{\partial}{\partial x} (e^{8 x - 200})

\frac{d}{d z ( t )} (\frac{( x - 1 ) z ( t )}{2 z ( t ) - 4 t + 1})

y y^{^{'}} = t + t y

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