What is the limit as x approaches 10 of sqrt((10x)/(2x+5)) ?

The limit as x approaches 10 of sqrt((10x)/(2x+5)) is 2

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limit as x approaches 10 of sqrt((10x)/(2x+5))

x \to 10 lim (\frac{10 x}{2 x + 5})

2

Solution steps

x \to 10 lim (\frac{10 x}{2 x + 5})

Plug in the value

x = 10

= \frac{10 \cdot 10}{2 \cdot 10 + 5}

Simplify

\frac{10 \cdot 10}{2 \cdot 10 + 5} : 2

= 2

What is the limit as x approaches 10 of sqrt((10x)/(2x+5)) ?
The limit as x approaches 10 of sqrt((10x)/(2x+5)) is 2