What is the limit as x approaches-3 of 9-3x+x^2 ?

The limit as x approaches-3 of 9-3x+x^2 is 27

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limit as x approaches-3 of 9-3x+x^2

x \to - 3 lim (9 - 3 x + x^{2})

27

Solution steps

x \to - 3 lim (9 - 3 x + x^{2})

Plug in the value

x = - 3

= 9 - 3 (- 3) + (- 3)^{2}

Simplify

9 - 3 (- 3) + (- 3)^{2} : 27

= 27

x \to \frac{π}{2} lim (\frac{5 ( sin ( x ) - 1 )}{cos ^{2} ( x )})

x \to - 2 lim (4 x cos (π x))

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

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

x \to \infty lim (2021)

What is the limit as x approaches-3 of 9-3x+x^2 ?
The limit as x approaches-3 of 9-3x+x^2 is 27