Q 3: Logic Consider the following two statements: VE >OFnEN: - CE (1) In ENVE >0: - CE (2) n Which of the following is the case: (A) Both statements are equivalent and they are both true. (B) Both statements are equivalent and they are both false. C) The statements are not equivalent and only (1) is true. (D) The statements are not equivalent and only (2) is true. Q 4: Convergence of a sequence Somebody claims: If (an)nEN is a sequence in R with an # 0 for all n E N, then we have: 1 lim n = lim Un = 1. (3) 7-+00 an n-+00 On (A) This is correct since lim, too ? = 0. (B) This would be correct if the following condition had been added: Vn : an > 0. (C) This is wrong, because the first equation in (3) does not always hold. (D) This is wrong, because the second limit in (3) only exists if (an ) is convergent