Integral remainder in Taylor theorem
= Integral remainder in Taylor theorem
If $f$ has $k+1$ continuous derivatives, its Taylor remainder about $a$ is
$$
R_k(x)=\frac1{k!}\int_a^x(x-t)^kf^{(k+1)}(t)\,dt.
$$
= Integral remainder in Taylor theorem
If $f$ has $k+1$ continuous derivatives, its Taylor remainder about $a$ is
$$
R_k(x)=\frac1{k!}\int_a^x(x-t)^kf^{(k+1)}(t)\,dt.
$$