Right now I was reading about the Landau o notation and I found an exercise which I couldn't understand. Why did $(1/2)x$ disappear from the equation: $$ x^2+o(x^2)-\frac {1}{2}x^2 + o(x^2)+3x+o(x)+o(x^2) = 3x+o(x) $$ Thanks for any possible answers.
2026-03-25 11:02:21.1774436541
Why one of the terms disappeared from the equation
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I assume this equation is written as $x\to 0$, in which case $-\frac{1}{2}x^2=o(x)$.