What is the limit as x approaches-3 of x^2+2/x+3 ?

The limit as x approaches-3 of x^2+2/x+3 is 34/3

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limit as x approaches-3 of x^2+2/x+3

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

\frac{34}{3}

Decimal Notation

11.33333 \dots

Solution steps

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

Plug in the value

x = - 3

= (- 3)^{2} + \frac{2}{- 3} + 3

Simplify

(- 3)^{2} + \frac{2}{- 3} + 3 : \frac{34}{3}

= \frac{34}{3}

x \to π lim (5 sin (x))

x \to 0 lim (\frac{1}{x ln ( x )})

x \to \frac{π}{2} lim (sin (3 x))

x \to 39 lim (- x^{22} x + 1)

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

What is the limit as x approaches-3 of x^2+2/x+3 ?
The limit as x approaches-3 of x^2+2/x+3 is 34/3