What is the limit as x approaches-3+of (sqrt(3+x))/x ?

The limit as x approaches-3+of (sqrt(3+x))/x is 0

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limit as x approaches-3+of (sqrt(3+x))/x

x \to - 3 + lim (\frac{3 + x}{x})

0

Solution steps

x \to - 3 + lim (\frac{3 + x}{x})

Plug in the value

x = - 3

= \frac{3 - 3}{- 3}

Simplify

\frac{3 - 3}{- 3} : 0

= 0

x \to \infty lim (x^{2} + 3 x)

x \to - \infty lim (2 x + 5)

x \to (5, - 1) lim (x^{2} + y^{2})

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

x \to 0 lim (- 1 + x ln (x))

What is the limit as x approaches-3+of (sqrt(3+x))/x ?
The limit as x approaches-3+of (sqrt(3+x))/x is 0