What is the limit as x approaches 3 of sqrt(xcsc(x)) ?

The limit as x approaches 3 of sqrt(xcsc(x)) is sqrt(3)sqrt(csc(3))

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limit as x approaches 3 of sqrt(xcsc(x))

x \to 3 lim (x csc (x))

3 csc (3)

Decimal Notation

4.61069 \dots

Solution steps

x \to 3 lim (x csc (x))

Plug in the value

x = 3

= 3 csc (3)

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 3 csc (3)

x \to ab c lim (a x^{2} + b x + c)

t \to \frac{1}{3} lim (2 t + 7)

x \to - 3 lim (x^{2} - x - 12)

x \to 0 lim (2 x ln (\frac{1}{x}))

x \to 0 lim (\frac{1}{1 - 2 x})

What is the limit as x approaches 3 of sqrt(xcsc(x)) ?
The limit as x approaches 3 of sqrt(xcsc(x)) is sqrt(3)sqrt(csc(3))