ta có
A=1/20 + 1/21+1/22+....+1/59
=(1/20+1/21+...+1/39)+(1/40+1//41+....+1/59)<1/20.20+1/40.20=1 + 1/2=3/2
vậy A<3/2
Chúc bạn học tốt nha ^-^
Các câu hỏi tương tự
cho A = \(\frac{1}{20}+\frac{1}{21}+\frac{1}{22}+...+\frac{1}{58}+\frac{1}{59}\)chứng minh A <\(\frac{3}{2}\)
Bài 1 :Chứng tỏ rằng :
a) \(\frac{11}{15}< \frac{1}{21}+\frac{1}{22}+\frac{1}{23}+...+\frac{1}{59}+\frac{1}{60}< \frac{3}{2}\)
b) \(3< 1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{63}< 6\)
Chứng minh rằng: \(\frac{11}{15}< \frac{1}{21}+\frac{1}{22}+\frac{1}{23}+...+\frac{1}{59}+\frac{1}{60}< \frac{3}{2}\)
choA=\(\frac{1}{21}+\frac{1}{22}+.........+\frac{1}{59}+\frac{1}{60}\)
chứng tỏ \(\frac{11}{15}
Chứng minh
\(\frac{11}{15}< \frac{1}{21}+\frac{1}{22}+\frac{1}{23}+...+\frac{1}{59}+\frac{1}{60}< \frac{3}{2}\)
Chứng minh
\(\frac{11}{15} < \frac{1}{21}+\frac{1}{22}+\frac{1}{23}+....+\frac{1}{59}+\frac{1}{60}< \frac{3}{2}\)
Cho A= \(\frac{1}{21}+\frac{1}{22}+.....+\frac{1}{59}+\frac{1}{60}\)Chưng tỏ \(\frac{11}{15}\)<A<\(\frac{3}{2}\)
Bài 1: CMR: \(\frac{11}{15}< \frac{1}{21}+\frac{1}{22}+\frac{1}{23}+...+\frac{1}{59}+\frac{1}{60}< \frac{3}{2}\)\(.\)
Bài 2: Cho các số nguyên dương a,b,c,d.
CTR: \(1< \frac{a}{a+b+c}+\frac{b}{b+c+d}+\frac{c}{c+d+a}+\frac{d}{d+a+b}< 2\)
Ai nhanh nhất mình \(tick\)cho!
Chứng minh:
c.\(\frac{11}{15}< \frac{1}{21}+\frac{1}{22}+\frac{1}{23}+...+\frac{1}{59}+\frac{1}{60}< \frac{3}{2}\)
b.\(\frac{1}{5}+\frac{1}{13}+\frac{1}{25}+\frac{1}{41}+\frac{1}{61}+\frac{1}{85}+\frac{1}{113}< \frac{1}{2}\)
a.\(\frac{1}{4}+\frac{1}{16}+\frac{1}{36}+\frac{1}{64}+\frac{1}{100}+\frac{1}{144}+\frac{1}{196}< \frac{1}{2}\)