What is the limit as x approaches-2 of x^3+1/x-4+1/2 ?

The limit as x approaches-2 of x^3+1/x-4+1/2 is -12

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limit as x approaches-2 of x^3+1/x-4+1/2

x \to - 2 lim (x^{3} + \frac{1}{x} - 4 + \frac{1}{2})

- 12

Solution steps

x \to - 2 lim (x^{3} + \frac{1}{x} - 4 + \frac{1}{2})

Plug in the value

x = - 2

= (- 2)^{3} + \frac{1}{- 2} - 4 + \frac{1}{2}

Simplify

(- 2)^{3} + \frac{1}{- 2} - 4 + \frac{1}{2} : - 12

= - 12

x \to - 1 lim (- - x + 1)

x \to \frac{1}{2} lim (4 x (x - \frac{1}{4}))

x \to \infty lim (10 0^{x})

x \to 5 lim (\frac{4 x - 10}{4 x - 20})

m \to 0 lim (\frac{5}{m ^{2} + m} - \frac{5}{m})

What is the limit as x approaches-2 of x^3+1/x-4+1/2 ?
The limit as x approaches-2 of x^3+1/x-4+1/2 is -12