What is the limit as h approaches 0 of 3/(sqrt(3h+1)+1) ?

The limit as h approaches 0 of 3/(sqrt(3h+1)+1) is 3/2

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limit as h approaches 0 of 3/(sqrt(3h+1)+1)

h \to 0 lim (\frac{3}{3 h + 1 + 1})

\frac{3}{2}

Decimal Notation

1.5

Solution steps

h \to 0 lim (\frac{3}{3 h + 1 + 1})

Plug in the value

h = 0

= \frac{3}{3 \cdot 0 + 1 + 1}

Simplify

= \frac{3}{2}

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What is the limit as h approaches 0 of 3/(sqrt(3h+1)+1) ?
The limit as h approaches 0 of 3/(sqrt(3h+1)+1) is 3/2