What is the limit as r approaches 1 of sqrt((8r+1)/(r+3)) ?

The limit as r approaches 1 of sqrt((8r+1)/(r+3)) is 3/2

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limit as r approaches 1 of sqrt((8r+1)/(r+3))

r \to 1 lim (\frac{8 r + 1}{r + 3})

\frac{3}{2}

Decimal

1.5

Solution steps

r \to 1 lim (\frac{8 r + 1}{r + 3})

Plug in the value

r = 1

= \frac{8 \cdot 1 + 1}{1 + 3}

Simplify

\frac{8 \cdot 1 + 1}{1 + 3} : \frac{3}{2}

= \frac{3}{2}

What is the limit as r approaches 1 of sqrt((8r+1)/(r+3)) ?
The limit as r approaches 1 of sqrt((8r+1)/(r+3)) is 3/2