\(\frac{1}{2}\)+ 36 = 0,5 + 36 = 36,5
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\(\frac{1}{2}-\frac{2}{3}+\frac{3}{4}-\frac{4}{5}-\left(\frac{-5}{6}\right)-\frac{6}{7}-\frac{-7}{8}+\frac{6}{7}-\frac{5}{6}+\frac{4}{5}-\frac{3}{4}+\frac{2}{3}-\frac{1}{2}\)
CMR : \(\frac{1}{6}< \frac{1}{5^2}+\frac{1}{6^2}+\frac{1}{7^2}+...+\frac{1}{100^2}< \frac{1}{4}\)
Chứng minh frac{1}{5}+frac{1}{13}+frac{1}{14}+frac{1}{15}+frac{1}{61}+frac{1}{62}+frac{1}{63} frac{1}{2}frac{1}{2}b,frac{1}{^{2^2}}+frac{1}{4^2}+frac{1}{6^2}+...+frac{1}{100^2} frac{1}{2}c,frac{3}{4}+frac{8}{9}+frac{15}{16}+...+frac{2499}{2500}48d,frac{1}{6} frac{1}{5^2}+frac{1}{6^2}+frac{1}{7^2}+...+frac{1}{100^2} frac{1}{4}
Đọc tiếp
Chứng minh \(\frac{1}{5}+\frac{1}{13}+\frac{1}{14}+\frac{1}{15}+\frac{1}{61}+\frac{1}{62}+\frac{1}{63}< \frac{1}{2}\)\(\frac{1}{2}\)
b,\(\frac{1}{^{2^2}}+\frac{1}{4^2}+\frac{1}{6^2}+...+\frac{1}{100^2}< \frac{1}{2}\)
c,\(\frac{3}{4}+\frac{8}{9}+\frac{15}{16}+...+\frac{2499}{2500}>48\)
d,\(\frac{1}{6}< \frac{1}{5^2}+\frac{1}{6^2}+\frac{1}{7^2}+...+\frac{1}{100^2}< \frac{1}{4}\)
Chứng minh:
a, M= \(\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+...+\frac{1}{n^2}< 1\)
b, \(\frac{1}{6}< \frac{1}{5^2}+\frac{1}{6^2}+\frac{1}{7^2}+...+\frac{1}{100^2}< \frac{1}{4}\)
\(\frac{6-\frac{1}{\frac{1}{2}-\frac{1}{3}}}{6+\frac{1}{\frac{1}{2}-\frac{1}{3}}}\)
bài 1: tính nhanh
a, \(\frac{\frac{1}{2}-\frac{1}{3}-\frac{1}{4}}{1-\frac{2}{3}-\frac{1}{2}}\)-\(\frac{\frac{3}{5}-\frac{3}{7}-\frac{3}{11}}{\frac{6}{5}-\frac{6}{7}-\frac{6}{11}}\)
b,\(1\frac{1}{2}+\frac{1}{2}+\frac{1}{4}+\frac{3}{20}+...+\frac{3}{2011.2012}\)
CMR:\(\frac{1}{6}< \frac{1}{5^2}+\frac{1}{6^2}+\frac{1}{7^2}+....+\frac{1}{100^2}\)<\(\frac{1}{4}\)
CMR:\(\frac{1}{6}< \frac{1}{5^2}+\frac{1}{6^2}+...+\frac{1}{1001^2}\)
Tính nhanh:a) frac{3^2}{1.4}+frac{3^2}{4.7}+frac{3^2}{7.10}+frac{3^2}{10.13}+frac{3^2}{13.16}+...+frac{3^2}{97.100}b)frac{1}{10}+frac{1}{40}+frac{1}{88}+frac{1}{154}+frac{1}{238}+frac{1}{940}c) A frac{6}{4}+frac{6}{28}+frac{6}{70}+frac{6}{130}+frac{6}{208}d) M (1-frac{1000}{2016}).(1-frac{1001}{2016}).(1-frac{1002}{2016})...(1-frac{2017}{2016})e) A 8400.(frac{1}{1.5}+frac{1}{5.9}+frac{1}{9.13}+frac{1}{13.17}+frac{1}{17.21}+frac{1}{21.25})f) T (frac{1}{2}+1).(frac{1}{3}+1).(frac{1}{4}+1)...(frac...
Đọc tiếp
Tính nhanh:
a) \(\frac{3^2}{1.4}+\frac{3^2}{4.7}+\frac{3^2}{7.10}+\frac{3^2}{10.13}+\frac{3^2}{13.16}+...+\frac{3^2}{97.100}\)
b)\(\frac{1}{10}+\frac{1}{40}+\frac{1}{88}+\frac{1}{154}+\frac{1}{238}+\frac{1}{940}\)
c) A= \(\frac{6}{4}+\frac{6}{28}+\frac{6}{70}+\frac{6}{130}+\frac{6}{208}\)
d) M= \((1-\frac{1000}{2016}).(1-\frac{1001}{2016}).(1-\frac{1002}{2016})...(1-\frac{2017}{2016})\)
e) A= \(8400.(\frac{1}{1.5}+\frac{1}{5.9}+\frac{1}{9.13}+\frac{1}{13.17}+\frac{1}{17.21}+\frac{1}{21.25})\)
f) T= \((\frac{1}{2}+1).(\frac{1}{3}+1).(\frac{1}{4}+1)...(\frac{1}{98}+1).(\frac{1}{99}+1)\)
h) A=\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\)phần \(\frac{1}{5}+\frac{5}{3}+\frac{5}{6}+\frac{1}{2}+...+\frac{1}{9}\)
1 thuc hien phep tinhh
a ,\(\frac{-2}{3}+\frac{3}{4}-\frac{-1}{6}+\frac{-2}{5}\)
b,\(\frac{-2}{3}+\frac{-1}{5}+\frac{3}{4}-\frac{5}{6}-\frac{-7}{10}\)
c,\(\frac{1}{2}-\frac{-2}{5}+\frac{1}{3}+\frac{5}{7}-\frac{-1}{6}+\frac{-4}{35}+\frac{1}{41}\)