Các câu hỏi tương tự
Cho \(N=\frac{1.4}{2.3}+\frac{2.5}{3.4}+\frac{3.6}{4.5}+...+\frac{98.101}{99.100}\)
Chứng minh : 97 < N < 98
Cho \(N=\frac{1.4}{2.3}+\frac{2.5}{3.4}+\frac{3.6}{4.5}+...+\frac{98.101}{99.100}\)
Chứng minh : 97 < N < 98
\(A=\frac{1.4}{2.3}+\frac{2.5}{3.4}+...+\frac{98.101}{99.100}\) CMR:97<A<98
Cho N = 1.4/2.3 + 2.5/3.4 + 3.6/4.5 + ... + 98.101/99.100 . Chứng minh 97 < N < 98
1.chứng minh rằng : \(\frac{1}{2}!+\frac{2}{3}!+\frac{3}{4}!+...+\frac{99}{100}!< 1\)
2. Chứng minh rằng :\(\frac{1.2-1}{2}+\frac{2.3-1}{3}+\frac{3.4-1}{4}+...+\frac{99.100-1}{100}< 2\)
TÍNH N=\(\frac{1.4}{2.3}+\frac{2.5}{3.4}+...+\frac{98.101}{99.100}\)
Cho n!=1.2.3....n,đọc là n giai thừa.Chứng minh rằng:
a.\(\frac{1}{2!}+\frac{2}{3!}+\frac{3}{4!}+....+\frac{99}{100!}< \)\(1\)
b.\(\frac{1.2-1}{2!}+\frac{2.3-1}{3!}+\frac{3.4-1}{4!}+....+\frac{99.100-1}{100!}< 2\)
Chứng minh rằng: \(\frac{1.2-1}{2!}+\frac{2.3-1}{3!}+\frac{3.4-1}{3!}+...+\frac{99.100-1}{100!}
Chứng minh rằng:
\(\frac{1.2-1}{2!}+\frac{2.3-1}{3!}+\frac{3.4-1}{4!}+...+\frac{99.100-1}{100!}<2\)