Question

1/10<1/90+1/91+1/92+...1/99<1/9

Answer 1

$\frac{1}{10} < \frac{1}{90} + \frac{1}{91} + \frac{1}{92} + ... + \frac{1}{99} < \frac{1}{9}$

numitorul comun: 623171140431840

atunci=(623171140431840×9)/623171140431840

=> 66005056993773/623171140431840

=> 22001685664591/207723713477280

aproximativ 0,105918

1/10<0,105<1/9

0,10< 0,105<0.9

adevărat