What is the limit as x approaches 4-of x^2+9/(x+4) ?

The limit as x approaches 4-of x^2+9/(x+4) is 137/8

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limit as x approaches 4-of x^2+9/(x+4)

x \to 4 - lim (x^{2} + \frac{9}{x + 4})

\frac{137}{8}

Decimal Notation

17.125

Solution steps

x \to 4 - lim (x^{2} + \frac{9}{x + 4})

Plug in the value

x = 4

= 4^{2} + \frac{9}{4 + 4}

Simplify

4^{2} + \frac{9}{4 + 4} : \frac{137}{8}

= \frac{137}{8}

\frac{d}{d x} (7 x + 4)

\frac{d y}{d x} = x^{2} + x^{2} y^{2}, y (0) = 1

\frac{\partial}{\partial x} (\frac{0}{0})

\frac{d}{d x} (2 x sin (x) + x^{2} cos (x))

\frac{\partial}{\partial x} (x y^{7} + x^{4} + y^{8})

What is the limit as x approaches 4-of x^2+9/(x+4) ?
The limit as x approaches 4-of x^2+9/(x+4) is 137/8