On finding limit by Taylor formula Why doesn't Taylor consider margin when he uses limit operation? Consider only polynomial of degree n?

On finding limit by Taylor formula Why doesn't Taylor consider margin when he uses limit operation? Consider only polynomial of degree n?


Expand an equation with Taylor's formula, which is generally infinitesimal
After expansion, it is still infinitesimal, and the remainder is only infinitesimal of higher order (relative to polynomial of degree n)
So can omit, do not understand to ask again!