What is the limit as x approaches 1/2 of (x+1)/(x+5) ?

The limit as x approaches 1/2 of (x+1)/(x+5) is 3/11

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limit as x approaches 1/2 of (x+1)/(x+5)

x \to \frac{1}{2} lim (\frac{x + 1}{x + 5})

\frac{3}{11}

Decimal

0.27272 \dots

Solution steps

x \to \frac{1}{2} lim (\frac{x + 1}{x + 5})

Plug in the value

x = \frac{1}{2}

= \frac{\frac{1}{2} + 1}{\frac{1}{2} + 5}

Simplify

\frac{\frac{1}{2} + 1}{\frac{1}{2} + 5} : \frac{3}{11}

= \frac{3}{11}

\frac{d y}{d x} = - \frac{3 y}{x} - 2 - x^{- 4}

\frac{1}{1 - x}, 3

\frac{d}{d x} (\frac{5}{1 - x})

\int \frac{1}{sec ^{2} ( y )} d y

\frac{d}{d x} ((4 - x^{\frac{2}{3}})^{3})

What is the limit as x approaches 1/2 of (x+1)/(x+5) ?
The limit as x approaches 1/2 of (x+1)/(x+5) is 3/11