What is the limit as z approaches 2i of iz^4+3z^2-10i ?

The limit as z approaches 2i of iz^4+3z^2-10i is 6i-12

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limit as z approaches 2i of iz^4+3z^2-10i

z \to 2 i lim (i z^{4} + 3 z^{2} - 10 i)

6 i - 12

Solution steps

z \to 2 i lim (i z^{4} + 3 z^{2} - 10 i)

Plug in the value

z = 2 i

= i (2 i)^{4} + 3 (2 i)^{2} - 10 i

Simplify

i (2 i)^{4} + 3 (2 i)^{2} - 10 i : 6 i - 12

= 6 i - 12

d er i v a t i v e f (x) = x^{2} - 8 x

(x^{2} + y^{2}) d x - x y d y = 0

\int cos (x) e^{2 x} d x

\int \frac{y ^{4}}{4} d y

\int u^{- 3} (9 - u^{3} + u^{6}) d u

What is the limit as z approaches 2i of iz^4+3z^2-10i ?
The limit as z approaches 2i of iz^4+3z^2-10i is 6i-12