2. Let (2n) and (yn) be Cauchy sequences of real numbers. Define (Tn) to be equivalent to (yn), written (n)~ (yn), if lim Tn - yn = 0. 14x Show that this defines an equivalence relation on the set of all Cauchy sequences of real numbers. Furthermore, prove that if (rn) and (yn) are Cauchy sequences, then ||æn - Yn|-|Tm - Ym|| ≤ n - Tm+ Ym-Yn- Conclude that (n - Yn) is a Cauchy sequence.

2. David determines that 3sqrt(2) * cis((7pi)/4) = - 3 + 3i. When he considers the graphical representation of these numbers , he knows he made an error. Clearly explain in complete sentences what David observed , and where David made his mistake. State the correct rectangular evidence of 3sqrt(2) * cis((7pi)/4)

question 7

Question 7 of 10 Give the coordinates of point A. A. A. (5,2) B. (2,5) C. (-2,-5) D. (-5, -2) 4