# bobobinks

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# 17 Questions

 28 The sum of an uncountable number of positive numbers 14 Cardinality of the set of all real functions of real variable 14 $f(x+y)+f(x-y)=2[f(x)+f(y)]$ 11 A and B disjoint, A compact, and B closed implies there is positive distance between both sets 11 $\int_{0}^{\infty}\frac{dx}{1+x^n}$

# 1,270 Reputation

 +55 The sum of an uncountable number of positive numbers +5 $f(x+y)+f(x-y)=2[f(x)+f(y)]$ +5 Cardinality of the set of all real functions of real variable +10 Convex and bounded function is constant

 15 Minimum of $x^2+\frac{a}{x}$ without Calculus 12 The limit of $\frac{n+\sqrt{n}+\cdots+\sqrt[n]{n}}{n}$ 11 $f(x+f(y))=f(x)+y^n$ 8 Differentiable function, not constant, $f(x+y)=f(x)f(y)$, $f'(0)=2$ 4 For which values of $\alpha$ does $\int_0^1\frac{1-x^\alpha}{1-x}\mathrm dx$ converge?

# 27 Tags

 18 analysis × 2 6 real-analysis × 6 16 calculus × 4 4 improper-integrals 12 limits 3 metric-spaces × 2 11 functional-equations × 7 2 norm 8 functions 1 linear-algebra × 2

# 1 Account

 Mathematics 1,270 rep 921