Exercise 2.6.3. If (xn) and (yn) are Cauchy sequences, then one easy way to prove that (xn + yn) is Cauchy is to use solution the Cauchy Criterion. By Theorem 2.6.4, (xn) and (yn) must be convergent, and the Algebraic Limit Theorem then implies (xn + yn) is convergent and hence Cauchy. (a) Give a direct argument that (xn + yn) is a Cauchy sequence that does not use the Cauchy Criterion or the Algebraic Limit Theorem. (b) Do the same for the product (xn n).

The correlation coefficient between the number of students and marks obtained in end semester exam. (13 marks) give the statistical meaning of the relationship between the number of students and marks b. obtained in end semester exam. (3 marks) draw the number of students and marks obtained in end semester exam scatter diagram c. (4 marks) check list write your name and id corectly write the question number properly use your own calculator. show all the steps to solve the problems. use the correct formula. answer in provided time. don't use your mobile for any purpose. write your answer up to two decimal places