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Results tagged with real-analysis
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user 293545
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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Prove that $f(0+)=f(0)$ if $f \in R(\beta_1)$ [closed]
Let $\beta_1$ be a function defined by $$\beta_1(x)= \begin{cases} 0 & x \le 0\\ 1 & x >0 \end{cases} $$
Now we define $f(x)$ which is a bounded function on $[-1,1]$.
We need to how that $ f \in R(\b …
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