\(=\dfrac{\left(1+\dfrac{99}{2}+1+\dfrac{98}{3}+...+1+\dfrac{1}{100}+1\right)}{\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{101}}-2\)
\(=\dfrac{\dfrac{101}{2}+\dfrac{101}{3}+...+\dfrac{101}{100}+\dfrac{101}{101}}{\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{101}}-2\)
=101-2
=99
Tính \(\left(100+\dfrac{99}{2}+\dfrac{98}{3}+... +\dfrac{2}{99}+\dfrac{1}{100}\right):\left(\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{101}\right)-2\)
\(\left(100+\dfrac{99}{2}+\dfrac{98}{3}+\dfrac{97}{4}....+\dfrac{1}{100}\right):\left(\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+....\dfrac{1}{100}\right)-2\)
Tính : (100+ \(\dfrac{99}{2}\)+\(\dfrac{98}{3}\)+......+\(\dfrac{1}{100}\)) : (\(\dfrac{1}{2}\)+\(\dfrac{1}{3}\)+...........+\(\dfrac{1}{101}\))-2=
giúp mk vs
So sánh A với 1
\(A=\dfrac{1}{2\sqrt{1}+1\sqrt{2}}+\dfrac{1}{3\sqrt{2}+2\sqrt{3}}+\dfrac{1}{4\sqrt{3}+3\sqrt{4}}+...+\dfrac{1}{100\sqrt{99}+99\sqrt{100}}\)
Tính giá trị của biểu thức:
\(A=\dfrac{1+\dfrac{1}{3}+\dfrac{1}{5}+....+\dfrac{1}{97}+\dfrac{1}{99}}{\dfrac{1}{1.99}+\dfrac{1}{3.97}+\dfrac{1}{5.99}+....+\dfrac{1}{97.3}+\dfrac{1}{99.1}}\)
\(B=\dfrac{\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+....+\dfrac{1}{99}+\dfrac{1}{100}}{\dfrac{99}{1}+\dfrac{98}{2}+\dfrac{97}{3}+....+\dfrac{1}{99}}\)
Tính tổng sau:
S=\(\frac{1}{2\sqrt[]{1}+1\sqrt[]{2}}+\frac{1}{3\sqrt[]{2}+2\sqrt[]{3}}+.........+\frac{1}{100\sqrt[]{99}+99\sqrt[]{100}}\)
Tính tổng : T=\(\frac{1}{\sqrt{1}-\sqrt{2}}-\frac{1}{\sqrt{2}-\sqrt{3}}+\frac{1}{\sqrt{3}-\sqrt{4}}-\frac{1}{\sqrt{4}-\sqrt{5}}+...+\frac{1}{\sqrt{99}-\sqrt{100}}\)
Tính tổng B= \(1+3^2+3^4+3^6+.....+3^{98}+3^{100}\)
\(\dfrac{1}{\sqrt{1}+\sqrt{2}}+\dfrac{1}{\sqrt{2}+\sqrt{3}}+\dfrac{1}{\sqrt{3}+\sqrt{4}}+\dfrac{1}{\sqrt{4}+\sqrt{5}}+...+\dfrac{1}{\sqrt{99}+\sqrt{100}}\)
Đề là rút gọn
