5*12+18/(3*2)=63
5*12=60
3*2=6
18/6=3
60+3=63
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1)3×64=192(кн.)
2)358-192=166(кн.)
3)166÷2=83(кн.)
Ответ:83 ученика начальных классов взяли книги в библиотеке
Неопределённость оо/оо раскрываем делением числителя и знаменателя на икс в максимальной степени, т.е. на
![x^{6}](https://tex.z-dn.net/?f=+x%5E%7B6%7D+)
:
![\lim_{n \to \infty} \frac{4 x^{5}-3 x^{2} +x+1 }{5 x^{6}-7 x^{3}+2 x^{4}} =\lim_{n \to \infty} \frac{ \frac{4}{x}- \frac{3}{ x^{4}}+\frac{1}{ x^{5}}+ \frac{1}{ x^{6}} }{ 5- \frac{7}{ x^{3}}+ \frac{2}{ x^{2}}} = ](https://tex.z-dn.net/?f=+%5Clim_%7Bn+%5Cto+%5Cinfty%7D++%5Cfrac%7B4+x%5E%7B5%7D-3+x%5E%7B2%7D+%2Bx%2B1+%7D%7B5+x%5E%7B6%7D-7+x%5E%7B3%7D%2B2+x%5E%7B4%7D%7D+%3D%5Clim_%7Bn+%5Cto+%5Cinfty%7D++%5Cfrac%7B+%5Cfrac%7B4%7D%7Bx%7D-+%5Cfrac%7B3%7D%7B+x%5E%7B4%7D%7D%2B%5Cfrac%7B1%7D%7B+x%5E%7B5%7D%7D%2B+%5Cfrac%7B1%7D%7B+x%5E%7B6%7D%7D+%7D%7B+5-+%5Cfrac%7B7%7D%7B+x%5E%7B3%7D%7D%2B+%5Cfrac%7B2%7D%7B+x%5E%7B2%7D%7D%7D+%3D%0A+)
![= \frac{ \frac{4}{oo}- \frac{3}{ oo^{4}}+\frac{1}{ oo^{5}}+ \frac{1}{ oo^{6}} }{ 5- \frac{7}{ oo^{3}}+ \frac{2}{ oo^{2}}} = \frac{0-0+0+0}{5-0+0} = \frac{0}{5} =0](https://tex.z-dn.net/?f=%3D+%5Cfrac%7B+%5Cfrac%7B4%7D%7Boo%7D-+%5Cfrac%7B3%7D%7B+oo%5E%7B4%7D%7D%2B%5Cfrac%7B1%7D%7B+oo%5E%7B5%7D%7D%2B+%5Cfrac%7B1%7D%7B+oo%5E%7B6%7D%7D+%7D%7B+5-+%5Cfrac%7B7%7D%7B+oo%5E%7B3%7D%7D%2B+%5Cfrac%7B2%7D%7B+oo%5E%7B2%7D%7D%7D+%3D+%5Cfrac%7B0-0%2B0%2B0%7D%7B5-0%2B0%7D+%3D+%5Cfrac%7B0%7D%7B5%7D+%3D0)