Question

cmr

100-(1+1/2+1/3+...+1/100)=1/2+2/3+3/4+....+99/100

Answer 1

\(=\left(1-1\right)+\left(1-\frac{1}{2}\right)+\left(1-\frac{1}{3}\right)+...+\left(1-\frac{1}{100}\right)\)

\(=\frac{1}{2}+\frac{2}{3}+\frac{3}{4}+...+\frac{99}{100}\)