The conversation between human and AI assistant.
What is the Taylor Polynomial of [math]\ln(3x^2)[/math] centered at [math]c[/math] of degree [math]3[/math]?
Is there any way to know how accurate the approximation is?
Yes, there is something called the remainder term which gives an estimate of the error between the polynomial approximation and the actual function value. The remainder term depends on the degree of the polynomial and the difference between x and c.