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Results tagged with real-analysis
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user 484700
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
1
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1
answer
106
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Positive, monotone decreasing function, with limit in 0 equal to ∞ submultiplicative up to a...
For $x_+ \in (0,\infty)$ let $f\colon(0,x_+] \to (0,\infty)$ be a continous differentiable function with $f(x) > 0$ and $f'(x) < 0$ for all $x \in (0,x_+]$.
Moreover, we assume that
$$\lim_{x \to 0} f …
- 15
0
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1
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162
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Positive, monotone decreasing function, with derivative limit in 0 equal to ∞ submultiplicat...
Related to this question.
For $x_+ \in (0,\infty)$, $a \in \mathbb{R}$ let $F\colon[0,x_+] \to [a,\infty)$ be a twice continuous differentiable (in $(0,x_+)$) function with $f := F'$, $f(x) > 0$, and …
- 15