Which of the following is the nth taylor polynomial tn(x) for f(x)=ln(1−x) based at b=0? tn(x) = −x + 1 2 x2 − 1 3 x3−+ 1 n xn tn(x) = −x − x2 − 1 2 x3−− 1 n−1 xn tn(x) = −x − 1 2 x2 − 1 3 x3−− 1 n xn tn(x) = −x − 1 2! x2 − 1 3! x3−− 1 n! xn find the smallest value of n such that taylor's inequality guarantees that |tn(x)−ln(1−x)|< 0.01 for all x in the interval i= − 1 2 , 1 2