## Taylor series, Function composition

Taylor series.

can I write ?

i) $T^n_a(f+g) = T^n_a(f) + T^n_a(g) ;$

ii) $T^n_a(f*g) = T^n_a[T^n_a(f) * T^n_a(g)] ;$

iii) $T^n_a(f \circ g) = T^n_a[T^n_{g(a)}(f) \circ T^n_a (g)];$

can I also this ?

iii) $T^n_a(f(g)) = T^n_a[T^n_{g(a)}(f(T^n_a(g)))] ;$

where I can find a guide of this taylor property in pdf?

Thanks to All !