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

The limit as x approaches-1 of 3x^2+4/(x^2) is 7

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

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

7

Solution steps

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

Plug in the value

x = - 1

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

Simplify

3 (- 1)^{2} + \frac{4}{( - 1 ) ^{2}} : 7

= 7

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What is the limit as x approaches-1 of 3x^2+4/(x^2) ?
The limit as x approaches-1 of 3x^2+4/(x^2) is 7