What is the limit as x approaches 0 of sqrt(sin(x)) ?

The limit as x approaches 0 of sqrt(sin(x)) is 0

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limit as x approaches 0 of sqrt(sin(x))

x \to 0 lim (sin (x))

0

Solution steps

x \to 0 lim (sin (x))

Plug in the value

x = 0

= sin (0)

Simplify

sin (0) : 0

= 0

x \to 1 + lim (1 + \frac{1}{( x + 1 )})

z \to 0 lim ((cos (z))^{\frac{1}{z ^{2}}})

x \to \infty lim (\frac{( 2 sin ( 3 x ) )}{5 x})

x \to 0 + lim (\frac{x}{1 + e ^{\frac{1}{x}}})

x \to - 3 lim (x^{2} + 5 x + 6)

What is the limit as x approaches 0 of sqrt(sin(x)) ?
The limit as x approaches 0 of sqrt(sin(x)) is 0