\(\frac{1}{19}+\frac{9}{19.29}+\frac{9}{29.39}+....+\frac{9}{1999.2009}\)
=\(\frac{1}{19}+\frac{1}{10}.\left(\frac{9}{19}-\frac{9}{29}+\frac{9}{29}-\frac{9}{39}+....+\frac{9}{1999}-\frac{9}{2009}\right)\)
=\(\frac{1}{19}+\frac{1}{10}.\left(\frac{9}{19}-\frac{9}{2009}\right)\)
=\(\frac{1}{19}+\frac{1791}{38171}\)
=\(\frac{200}{2009}\)
sorry bn nhak mạng nhà mk lát nên nhìn ko có biểu thức