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]?
I see. Is this polynomial approximation accurate for values of x close to c?
Yes, the accuracy of the approximation depends on the degree of the polynomial and the distance between x and c. The higher the degree and the closer x is to c, the more accurate the approximation will be.