Find the least integer n such that f(x) is O(x^n) (Big O function) for 1.f(x)=(x^4+x^2+1)/(x^4+1) 2.f(x)=(x^3+5logx)/(x^4+1) with complete...

Find the least integer n such that f(x) is O(x^n) (Big O function) for 1.f(x)=(x^4+x^2+1)/(x^4+1)2.f(x)=(x^3+5logx)/(x^4+1)with complete explanation and work.

1. f(x)=(x^4+x^2+1)/(x^4+1)|x^4+x^2+1| x4=> x^4+x^2+1 O(x4)|x^4+1| x4=> x^4+1 O(x4)=> f(x)=(x^4+x^2+1)/(x^4+1) O(1) 2. y=f(x)=(x^3+5logx)/(x^4+1) |log x| |x|=> log x O(x)=>...