Please solve the following questions and include explanation: (disregard the answers in the pictures)

For which values of n does the Taylor polynomial of order n for f(x) == e centered at a = 0 approximate the value of the function to within an error of 10 2 on the interval [-1, 0]? O nel - 17 None of the aboveWhich of the following are true statements? O If E an diverges, then for some n, Sn > M for all M > 0. If _ an converges, then _ _ diverges. If _ an converges and _ bn diverges, then E(an 1 bn) diverges. If E an and Ebn both diverge, then E(an + bn) diverges. None of the aboveWhich of the following statements are true? Select all true statements. f cannot satisfy both f"(x) 0 for all a E R, f may have at most one local extrema If f"(x)