MTH621 Midterm Current Papers

Mth 621 ... define power series . Define sprenum ..r aik.limit wala question tha

Today was my Mth 621 paper..... Mcqs are based on concept.... 1-define ratio test...(2) 2-define upper bound...(2) 3-chek whether the series is convergent or divergent (3) 4-prove tha 12 under root is a irrational num...(5) 5-prove that the given series is divergent.. (5)... Mth 621 paper Prove underroot8 is irrational number 5 marks Tell the convergence of Summation r power n -1<r<1 Qno 1 . Test the convergence of sequence(simple by evaluation of limi) Qno 2. Define upper boun Q.no 3: define limitinfimum Qno4 ; state ables test Qno5: prove e = lim(1+1/n)^n Qno 6: regarding upperbound Mcqs

1. E =limit (n+1/n)^n
2. ables test
3. upper bound
4. power series
5. conerge when inf=supp=limit
6. completness
7. archamedian prperity
8. limit evaluation
9. irrational number
10. Supp of rational no

Mth621 Long q Prove e=(1+1/n)^n ArchiMedian properrty Short q Stat Bolzano theom Find o MTH621

Q1. If S={x|x≥-2} then find SupS and Inf S

Q2. State definition of Ratio Test

Q3. Show that

Q4. Prove that {sn} is non decreasing then sn=Sup{sn}

MTH621:

1. if A is a set , and A is finite ,

Is A a subset of N? (And other other options

2. the set of real numbers is :

Natural and complete Irrational and complete Natural and finite

3. which system is bounded :

Sn = [1 + (-1)^n]n (-1)^n {n} {1/n + n}

4. R^n -1<r<1

Is divergent using which conditions of Comparison Test

5. Sup sn = - infinity

Is sn convergent or divergent

6. limit sn = s (- infinity to + infinity)

For sub sequence Limit Sn < s (? There was multiple choice , I chose this )

Q7. when seq {sn} is convergent , what’s relation between Sn, Inf Sn, Sum sn? Are they all equal , not equal or mix ?

8. s = (-infinity, -1) U (1,2)U{3}
9. tell a sequence which doesn’t converge but it’s subsequence does
10. Find the open cover of S =[0,1]
11. Prove n< 3^n for n E N
12. State Dirichilet’s Test
13. Apply Dirichilits Test of convergence for a series

2017

Mth621mid term paper 2017 Ratio test, completenes axiom, ek question ki divergnce discus krni 1 long question tha 17,18,5,15,7 K leay AVL tree ka programme likna tha 2*(9+6) is tra ka kuch relation tha jis ka postfix algorithm likhn Stak, infix etc mention krn 1, 5 marks ka question bohat easy tha table k columns match krny thyJis me definition likhi hui thi Define theseReference variable Constant keyword 1 dangling fn *+ab-cd is ka b postfix ya infix likhna tha.

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