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Results tagged with real-analysis
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user 495150
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
11
votes
6
answers
865
views
A question on the real root of a polynomial
For $n\geq 1$, given a polynomial
\begin{equation*}
\begin{aligned}
f(x)=&\frac{2+(x+3)\sqrt{-x}}{2(x+4)}(\sqrt{-x})^n+\frac{2-(x+3)\sqrt{-x}}{2(x+4)}(-\sqrt{-x})^n \\
&+\frac{x+2+\sqrt{x(x+4) …
- 145