What is the limit as z approaches 1+i of z^2-5z+10 ?

The limit as z approaches 1+i of z^2-5z+10 is i^2-3i+6

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limit as z approaches 1+i of z^2-5z+10

z \to 1 + i lim (z^{2} - 5 z + 10)

i^{2} - 3 i + 6

Solution steps

z \to 1 + i lim (z^{2} - 5 z + 10)

Plug in the value

z = 1 + i

= (1 + i)^{2} - 5 (1 + i) + 10

Simplify

(1 + i)^{2} - 5 (1 + i) + 10 : i^{2} - 3 i + 6

= i^{2} - 3 i + 6

y^{^{'}} = 2 y - 4 x

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

x \to 0 lim (\frac{x - x cos ( x )}{sin ^{2} ( 3 x )})

\frac{d}{d x} (2 x^{3} - 3 x^{2} - 36 x)

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

What is the limit as z approaches 1+i of z^2-5z+10 ?
The limit as z approaches 1+i of z^2-5z+10 is i^2-3i+6