a) 1/2! + 1/3! +1/4!+.....+1/100!<1
b) 9/10! + 9/11! + 9/12! +.........+ 9/1000! < 1/9!
Bài 1 :Cho S =9/10! + 9/11!+ 9/12! +...+ 9/100!. Chứng minh rằng:S<1/9!
9/10! + 10/11! + 11/12! +. . . .+ 99/100! < 1/9!
CMR 9/10! +10/11!+11/12!+...+99/100!<1/9!
Chứng minh:
\(B=\frac{9}{10!}+\frac{9}{11!}+\frac{9}{12!}+....+\frac{9}{100!}
chứng minh rằng 9/10! +10/11! +11/12!+...+99/100! <1/9!
A = 9^100 + 7/ 9^101 + 1
B = 9^10 +7 / 9^11 + 1
Chứng minh rằng:
a) \(\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}+...+\frac{1}{100!}<1\)
b) \(\frac{9}{10!}+\frac{9}{11!}+\frac{9}{12!}+...+\frac{9}{1000!}<\frac{1}{9!}\)
CMR:\(\frac{9}{10!}+\frac{9}{11!}+\frac{9}{12!}+.....+\frac{9}{100!}\)<\(\frac{1}{9!}\)