Question
Express the following in the form a + ib, a, b ∈ R, using De Moivre’s theorem.
$(1-i)^5$
$(1-i)^5$
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$
\lim _{x \rightarrow 0}\left[\frac{e^x+e^{-x}-2}{x \cdot \tan x}\right]
$
$\left(x-\frac{2}{x^2}\right)^{15}$