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

4.61069 \dots

Solution steps

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

Plug in the value

x = 3

= 3 csc (3)

Apply radical rule:

n ab = n a n b,

assuming

a \geq 0, b \geq 0

= 3 csc (3)

x \to - 7 + lim (\frac{2 x + 1}{x + 7})

x \to \frac{π}{4} lim (\frac{4 x}{tan ( x )})

x \to - 1 lim (2 x^{3} - \frac{3}{x - 1})

k \to \infty lim (x^{k})

x \to 1 lim (\frac{3 x - 1}{2 - 3 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))