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

The limit as x approaches-pi/2 of csc(x/2) is -sqrt(2)

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limit as x approaches-pi/2 of csc(x/2)

x \to - \frac{π}{2} lim (csc (\frac{x}{2}))

- 2

Decimal Notation

- 1.41421 \dots

Solution steps

x \to - \frac{π}{2} lim (csc (\frac{x}{2}))

Plug in the value

x = - \frac{π}{2}

= csc (\frac{- \frac{π}{2}}{2})

Simplify

csc (\frac{- \frac{π}{2}}{2}) : - 2

= - 2

ln (1 + 2 x)

y = x 5^{2 x}

\int \frac{x ^{3}}{16 - x ^{2}} d x

8 x

\int \frac{x ^{4} - 7 x ^{2} + 5}{x ^{4}} d x

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