What is the limit as x approaches 7 of x/(sqrt(x-3)) ?

The limit as x approaches 7 of x/(sqrt(x-3)) is 7/2

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limit as x approaches 7 of x/(sqrt(x-3))

x \to 7 lim (\frac{x}{x - 3})

\frac{7}{2}

Decimal

3.5

Solution steps

x \to 7 lim (\frac{x}{x - 3})

Plug in the value

x = 7

= \frac{7}{7 - 3}

Simplify

\frac{7}{7 - 3} : \frac{7}{2}

= \frac{7}{2}

What is the limit as x approaches 7 of x/(sqrt(x-3)) ?
The limit as x approaches 7 of x/(sqrt(x-3)) is 7/2