fn=(2^2^n)+1foranynonnegativeintcgern试比较fn与3的大小acertaincompanyhasfoundthatthenumberoflaborhoursrequiredtoproducexitemsisdirectlyproportionaltothesquarerootofx.if3laborhoursarerequiredtoproduce20it

Question

fn=(2^2^n) +1 for any nonnegative intcger n 试比较fn与3的大小
a certain company has found that the number of labor hours required to produce x items is directly proportional to the square root of x.if 3 labor hours are required to produce 20 items.how many labor hours are required to produce 40 items

Answer 1

1.when n is a nonnegative interger which means n≥0,2^n≥1
suppose 2^n=a,
when a≥1,2^a≥2
fn=(2^2^n)+1≥2+1=3,thus,fn≥3
2.h=a根号x
when 3=a根号20,a=3根号5/10
when x=40,h=3根号5/10×根号40=3根号2