What is the limit as x approaches 3 of csc((pix)/4) ?

The limit as x approaches 3 of csc((pix)/4) is square root of 2

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limit as x approaches 3 of csc((pix)/4)

x \to 3 lim (csc (\frac{π x}{4}))

2

Decimal Notation

1.41421 \dots

Solution steps

x \to 3 lim (csc (\frac{π x}{4}))

Plug in the value

x = 3

= csc (\frac{π 3}{4})

Simplify

csc (\frac{π 3}{4}) : 2

= 2

\int e^{- x} \cdot cos (x) d x

(x y^{3} + 1) d x + x^{2} y^{2} d y = 0

x \frac{d y}{d x} - x^{2} y = - x^{2}

\frac{y ^{^{'}} - e ^{- t} + 4}{y} = - 4, y (0) = 3

o f (o, y) y = \frac{π}{2}, (π, \frac{π}{2})

What is the limit as x approaches 3 of csc((pix)/4) ?
The limit as x approaches 3 of csc((pix)/4) is square root of 2