What is the limit as y approaches 1 of sqrt(y^4-5y^3+2y-2) ?

The limit as y approaches 1 of sqrt(y^4-5y^3+2y-2) is 2i

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limit as y approaches 1 of sqrt(y^4-5y^3+2y-2)

y \to 1 lim (y^{4} - 5 y^{3} + 2 y - 2)

2 i

Solution steps

y \to 1 lim (y^{4} - 5 y^{3} + 2 y - 2)

Plug in the value

y = 1

= 1^{4} - 5 \cdot 1^{3} + 2 \cdot 1 - 2

Simplify

1^{4} - 5 \cdot 1^{3} + 2 \cdot 1 - 2 : 2 i

= 2 i

x \to \infty lim (10 x - 6 x)

x \to 5 lim (\frac{x + 5}{x - 1})

x \to 0 + lim (4 x ln (x))

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

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

What is the limit as y approaches 1 of sqrt(y^4-5y^3+2y-2) ?
The limit as y approaches 1 of sqrt(y^4-5y^3+2y-2) is 2i