What is the limit as x approaches 0 of 3/(sqrt(3x+4)+4) ?

The limit as x approaches 0 of 3/(sqrt(3x+4)+4) is 1/2

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limit as x approaches 0 of 3/(sqrt(3x+4)+4)

x \to 0 lim (\frac{3}{3 x + 4 + 4})

\frac{1}{2}

Decimal

0.5

Solution steps

x \to 0 lim (\frac{3}{3 x + 4 + 4})

Plug in the value

x = 0

= \frac{3}{3 \cdot 0 + 4 + 4}

Simplify

\frac{3}{3 \cdot 0 + 4 + 4} : \frac{1}{2}

= \frac{1}{2}

n \to \infty lim (\frac{( 10 - 3 n ) n !}{( n + 1 ) ! - ( n - 1 ) !})

x \to 5 lim (\frac{11}{x ^{2} - 25})

x \to 2 lim (\frac{3 x ^{2}}{x - 2})

x \to - \infty lim (2 x^{3} - x^{2} - 7 x + 3)

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

What is the limit as x approaches 0 of 3/(sqrt(3x+4)+4) ?
The limit as x approaches 0 of 3/(sqrt(3x+4)+4) is 1/2