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

The limit as x approaches 4-of x^2+2/(x+4) is 65/4

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

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

\frac{65}{4}

Decimal Notation

16.25

Solution steps

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

Plug in the value

x = 4

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

Simplify

4^{2} + \frac{2}{4 + 4} : \frac{65}{4}

= \frac{65}{4}

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

(1, - 1), (5, - 7)

\frac{d}{d x} (arctan (x) + arctan (\frac{1}{x}))

\int_{0}^{2} (2 x - 3)^{5} d x

f (x) = x + \frac{1}{x}

What is the limit as x approaches 4-of x^2+2/(x+4) ?
The limit as x approaches 4-of x^2+2/(x+4) is 65/4