11 Limit of geometric series sum when $r = 1$ 5 Calculate the value of $\frac{1}{2}+\frac{1}{4}+\frac{2}{8}+\frac{3}{16}+…+\frac{F_n}{2^n}+…$ 5 How to solve $y''=\sqrt{1-(y')^2}$? 4 Can you differentiate the length of a function? 4 For linear equation $\bf A x = b$, why can't there be more than one but less than infinitely many solutions for a particular $\bf b$?

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 39 calculus × 21 19 limits × 7 38 ordinary-differential-equations × 34 17 optimal-control × 10 33 control-theory × 26 16 optimization × 10 26 sequences-and-series × 10 13 derivatives × 12 21 linear-algebra × 16 11 dynamical-systems × 15

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 2 Question on mixed-strategy matrix games from Boyd & Vandenberghe 1 Is there any differential equation whose solution is the function itself? 1 Show that $\sup_{x_1, \dots, x_n \in \mathscr{X}}|\mathscr{F}(x_1, \dots, x_n)|=S(\mathscr{A}, n)$ 0 Function $f(x)=a_1 \cos(b_1 x) + \dots + a_n \cos(b_n x)$ has root value -1 Why Not Least Quartic Instead of Least Squares?