B.Sc. (Computer Science) Sem 3 Mathematics I 2014-15 ATKT Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q2 , attempt any one (each 8 part (a), and any three subquestions (each 4 mks)trom
2. Q3 Por Attempt any three,(each
   • (a) any one 8} then such that my
3. Q2 State and prove Nested Property for IR
   • (b) three, [Bach 4]
4. Q1 Prove that is a set bounded above, have two suprema,
5. Q2 State and prove the Triangle inequality for IR
6. Q3 Prove that then there is neN such that X <n,
7. Q4 Find least & greatest upper bound for S
   • (a) one [Bach 8]
8. Q1 State and prove Bolzano Weierstrass theorem of IR,
9. Q2 Define monotone increasing and monotone decreasing sequence, Also prove that every monotone increasing sequence converges Upper bound if bounded above, Q,2 (b) Attempt any three, [Bach 4]
10. Q1 When is a sequence of IR (neIN) said to be convergent? Using eS show that is convergent and

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