MathDB

Problem 12

Part of 2019 LIMIT Category C

Problems(2)

limit of x[1/x] x->0

Source: LIMIT 2019 CCS1 P12

4/28/2021
lim⁡x→0x⌊1x⌋=?\lim_{x\to0}x\left\lfloor\frac1x\right\rfloor=?
real analysis
least surface area of a cylinder with fixed volume

Source: LIMIT 2019 CCS2 P12

4/28/2021
In the collection of all right circular cylinders of fixed volume cc, what is the ratio hr\frac hr of the cylinder which has the least total surface area?
geometry