Tham khảo: (mk chx chắc lắm đâu nha)
Tham khảo: (mk chx chắc lắm đâu nha)
chứng minh rằng tổng A =\(\dfrac{1}{51}+\dfrac{1}{52}+\dfrac{1}{53}+............+\dfrac{1}{100}\)
không phải là số tự nhiên
a=(\(\dfrac{1}{2}+\dfrac{1}{12}+\dfrac{1}{30}+...+\dfrac{1}{9900}\)):(\(\dfrac{-6}{51}-\dfrac{6}{52}-\dfrac{6}{53}-...-\dfrac{6}{100}\))
giúp mik giải nhé
cảm ơn !
CMR:\(\dfrac{7}{12}< \dfrac{1}{51}+\dfrac{1}{52}+...+\dfrac{1}{100}< \dfrac{5}{6}\)
giúp mk nhé
Cho S= \(\dfrac{1}{50}\)+\(\dfrac{1}{51}\)+\(\dfrac{1}{52}\)+...+\(\dfrac{1}{98}\)+\(\dfrac{1}{99}\). Khẳng định nào sau đây là đúng:
A. S >\(\dfrac{1}{2}\) | B. S <\(\dfrac{1}{2}\) | C.S > 1 | D. S < 1 |
cmr 1.3.5....99\(=\dfrac{51}{2}.\dfrac{52}{2}...\dfrac{100}{2}\)
Chứng minh rằng: \(\dfrac{1}{6}\) < M = \(\dfrac{1}{50}+\)\(\dfrac{1}{51}+\)\(\dfrac{1}{52}+\)...\(+\dfrac{1}{59}\) < \(\dfrac{1}{5}\)
Các bạn giúp mình nhanh nhé, mình đang cần vội. Cảm ơn các bạn!
\(l,\dfrac{\dfrac{3}{41}-\dfrac{12}{47}+\dfrac{27}{53}}{\dfrac{4}{41}-\dfrac{16}{47}+\dfrac{36}{53}}\)
\(m,\left(3-2\dfrac{1}{3}+\dfrac{1}{4}\right):\left(4-5\dfrac{1}{6}+2\dfrac{1}{4}\right)\)
\(n,F=\dfrac{4}{2.4}+\dfrac{4}{4.6}+\dfrac{4}{6.8}+...+\dfrac{4}{2008.2010}\)
\(p,F=\dfrac{1}{18}+\dfrac{1}{54}+\dfrac{1}{108}+...+\dfrac{1}{990}\)
Chứng tỏ rằng:
a)\(\dfrac{1}{2^2}+\dfrac{1}{3^2}+\dfrac{1}{4^2}+...+\dfrac{1}{100^2}< \dfrac{3}{4}\)
b)\(\dfrac{1}{2^2}+\dfrac{1}{4^2}+\dfrac{1}{6^2}+...+\dfrac{1}{100^2}< \dfrac{1}{2}\)
chứng minh rằng
a , \(\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{8}-\dfrac{1}{16}+...+\dfrac{1}{512}-\dfrac{1}{1024}\) < \(\dfrac{1}{3}\)
b , \(\dfrac{1}{3}-\dfrac{2}{3^2}+\dfrac{3}{3^3}-\dfrac{4}{3^4}+...+\dfrac{99}{3^{99}}-\dfrac{100}{3^{100}}\) < \(\dfrac{3}{16}\)