What is the limit as x approaches-3 of (x^2+1)/(2x) ?

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

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limit as x approaches-3 of (x^2+1)/(2x)

x \to - 3 lim (\frac{x ^{2} + 1}{2 x})

- \frac{5}{3}

Decimal Notation

- 1.66666 \dots

Solution steps

x \to - 3 lim (\frac{x ^{2} + 1}{2 x})

Plug in the value

x = - 3

= \frac{( - 3 ) ^{2} + 1}{2 ( - 3 )}

Simplify

\frac{( - 3 ) ^{2} + 1}{2 ( - 3 )} : - \frac{5}{3}

= - \frac{5}{3}

f (x) = 4 x^{- \frac{1}{2}}

\frac{d}{d h} (1.18 h)

\frac{\partial}{\partial x} (\frac{( 7 x - 8 y )}{1 x + 2 y})

\frac{d}{d x} (\frac{cos ( x ^{2} )}{x ^{2} + 1})

\frac{d}{d x} (\frac{x}{( x ^{2} + 1 )})

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