What is the limit as x approaches-2 of (x^2-4x+5)^2 ?

The limit as x approaches-2 of (x^2-4x+5)^2 is 289

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limit as x approaches-2 of (x^2-4x+5)^2

x \to - 2 lim ((x^{2} - 4 x + 5)^{2})

289

Solution steps

x \to - 2 lim ((x^{2} - 4 x + 5)^{2})

Plug in the value

x = - 2

= ((- 2)^{2} - 4 (- 2) + 5)^{2}

Simplify

((- 2)^{2} - 4 (- 2) + 5)^{2} : 289

= 289

x \to 0 + lim (ln (x) \cdot sin (x))

n \to \infty lim (\frac{n cos ( nπ )}{2 n - 1})

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

x \to 0 - lim (x ∣ x ∣)

x \to - \infty lim (- ∣ x ∣)

What is the limit as x approaches-2 of (x^2-4x+5)^2 ?
The limit as x approaches-2 of (x^2-4x+5)^2 is 289