Các câu hỏi tương tự
Cho A=1/2^2+1/3^2+1/4^2+.....+1/100^2
CMR:A>1/2
\(\left(\frac{1}{2^2}-1\right).\left(\frac{1}{3^2}-1\right).\left(\frac{1}{4^2}-1\right)...\left(\frac{1}{100^2}-1\right)\)
\(CMR:A< -\frac{1}{2}\)
Cho A= 1/2^2+1/3^2+1/4^2+...+1/n^2
CMR:A<1
CMR:A= 1/3 + 2/32 + 3/33 + 4/34 + ....+ 100/3100 bé hơn 3/16
Cho M=1+\(\frac{1}{2}+\frac{1}{3}+..................\frac{1}{2^{100}-1}\)
CMR:a, M<100
b, M>50
nhanh nhé
\(Cho\)\(A=1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2^{100}-1}\)
\(CMR:a,A< 100\)
\(b,A>50\)
\(CMR:A=\frac{1}{2}+\frac{2}{2^2}+\frac{3}{2^3}+......+\frac{100}{2^{100}}<2\)
\(a=\frac{1}{1^2}+\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+.....+\frac{1}{50^2}.\)CMR:a\(\le\)2
1) Cho \(A=\frac{9}{10!}+\frac{9}{11!}+\frac{9}{12!}+...+\frac{9}{1000!}.CMR:A< \frac{1}{9!}\)
2) \(CMR:\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+...+\frac{1}{100^2}< \frac{1}{2}\)
Ai giúp mk sẽ đc thưởng 3 tick , phải ghi chép đầy đủ nha