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### Questions (13)

 27 Uniform convergence of $\sum_{n=1}^{\infty} \frac{\sin(n x) \sin(n^2 x)}{n+x^2}$ 6 Asymptotic behavior a recursion involving min/max 5 Continuous on every continuous path vs Continuous 5 Sets question, without Zorn's lemma [duplicate] 5 The $43$rd derivative of $\sin(x^{13}+x^{15})$ | Calculus 1

### Reputation (362)

 +30 Asymptotic behavior a recursion involving min/max +60 Uniform convergence of $\sum_{n=1}^{\infty} \frac{\sin(n x) \sin(n^2 x)}{n+x^2}$ +5 Continuous on every continuous path vs Continuous +5 How to find the derivative of the adjugate operator?

### Answer (1)

 1 What is $\int_0^{\infty} (-1)^{\lfloor x^2 \rfloor} \, \operatorname{d}\!x \ ?$

### Tags (18)

 1 integration × 2 0 recursion 0 matrices × 3 0 sequences-and-series 0 rational-functions 0 set-theory 0 rational-numbers 0 summation 0 real-analysis 0 uniform-convergence

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