Questions a-d. True or False and please explain why

Determine whether the following statements are true and give an explanation or counterexample. a. The linear approximation to f(x)=x2 at x=0 is L(x)=0. b. Linear approximation at x=0 provides a good approximation to f(x)=x. c. If f(x)=mx+b, then the linear approximation to f at any point is L(x)=f(x). d. When linear approximation is used to estimate values of In x near x=e, the approximations are overestimates of the true values