Các câu hỏi tương tự
Cho \(A=1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{62}+\frac{1}{63}\)
So sánh A với 6
1. tính A frac{3}{2^2}.frac{8}{3^2}.frac{15}{4^2}...frac{899}{30^2}2. tính B frac{1}{4}.frac{2}{6}.frac{3}{8}.frac{4}{10}...frac{30}{62}.frac{31}{64}3. So sánh C left(1-frac{1}{2}right).left(1-frac{1}{3}right).left(1-frac{1}{4}right)...left(1-frac{1}{20}right)với frac{1}{21}4. So sánh D left(1-frac{1}{4}right).left(1-frac{1}{9}right).left(1-frac{1}{16}right)...left(1-frac{1}{100}right)với frac{11}{19}
Đọc tiếp
1. tính A= \(\frac{3}{2^2}.\frac{8}{3^2}.\frac{15}{4^2}...\frac{899}{30^2}\)
2. tính B= \(\frac{1}{4}.\frac{2}{6}.\frac{3}{8}.\frac{4}{10}...\frac{30}{62}.\frac{31}{64}\)
3. So sánh C= \(\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).\left(1-\frac{1}{4}\right)...\left(1-\frac{1}{20}\right)\)với \(\frac{1}{21}\)
4. So sánh D= \(\left(1-\frac{1}{4}\right).\left(1-\frac{1}{9}\right).\left(1-\frac{1}{16}\right)...\left(1-\frac{1}{100}\right)\)với \(\frac{11}{19}\)
CHỨNG MINH:
\(\frac{ }{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+...+\frac{1}{63}+\frac{1}{64}>3}\)
Chung minh rang : 1+\(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{63}+\frac{1}{64}>4\)
Cho C = \(\frac{3}{4}\) + \(\frac{15}{16}\) + \(\frac{63}{64}\) + ..... + \(\frac{4^{2010}-1}{4^{2010}}\)
So sánh C với 2009
Cho A = \(\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+...+\frac{1}{2020^2}\)
a)so sánh A với 1
b)so sánh A với \(\frac{3}{2}\)
Chứng tỏ:
\(1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{62}+\frac{1}{63}+\frac{1}{64}>4\)
Chứng tỏ:
\(1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{62}+\frac{1}{63}+\frac{1}{64}>4\)
Cho A=\(\frac{1}{4}+\frac{1}{16}+\frac{1}{36}+\frac{1}{64}+\frac{1}{100}+\frac{1}{144}+\frac{1}{196}\)
So sánh A với \(\frac{1}{2}\)