Question 1 All except one of the following statements implies that lim F(I) = . For each statement, explain either why it implies that lim F(I) = ^ or provide an example of a function F for which the statement is true, yet lim F(x) = fails. The explanation in both cases should refer to definitions from the textbook. (A) For every a > 0 there is some b > 0 such that F(6) - | 0 there is some o > 0 such that |F(w) - a) 0 such that F(x) - ~| 0 and all c such that 0 0 and 6 > 0 such that |F(x) - 0 such that |F(I) - )