Find second independent solution/M.SC/MATHS/ODE/ in Tamil/தமிழில்

[@VelMurugan-xw7lj]

Mam ODE unit 2 theorems nadaththunga

[@kumarsubaramani5788]

mam Real Anaysis-1 Richard Goldberg book use panni
UNIT - 3 :
1) 2.9 M THEOREM (page no: 51)
UNTI -4 :
1) 3.7 A THEOREM (page no: 85)
UNIT-5 :
1) EXERCISE 4.3 in 9th theorem (page no : 112)
2) 5.2 D THEOREM (page no : 117)
Then
1) prove that convergent sequence of a real numbers is a cauchy sequence .
2) prove that every convergent sequence is a cauchy sequence.
3) State and prove Root test .
4) State and prove nested interval theorem.
mam inthe thorems very very important and repeated theorems mam please mam inthe theorems mattum videos upload pannunge mam please mam .🙏🙏🙏🙏

[@kumarsubaramani5788]

mam Real Analysis -2 richard Goldberg book use panni videos upload pannunge mam.
TEN MARKS
UNIT - 1 :
1) 6.2 F Theorem. ( Page no : 136)
UNIT -2 :
1) 6.4 D Theorem. ( page no: 142 ).
UNIT -5 :
1) State and prove Taylor's theorem.
FIVE MARKS
UNIT - 1:
1) 5.6 D Theorem. (page no : 129 )
2) 5.6 E Theorem. ( page no : 129)
3) 5.6 H Theroem. ( page no: 130 )
4) 6.2 D Theorem. (Page no : 136 )
5) 6.2 G Theorem. ( page no : 137 )
UNIT -2 :
1) 6.3 D Theorem. ( Page no : 139 )
2) Exercise 6.3 : in 1 st Theorem ( Page no : 140 )
3) 6.4 C Theorem. (page no : 142 )
4) Exercise 6.4 : in 3 rd Theorem (page no : 144 )
5) 6.6 A THeorem (Page no : 148 ).
6) 6.6 F Theorem (Page no : 149 ) .
7) 5.8 C Theorem ( Page no : 153 ).
UNIT -3 :
1) 7.4 F Corollary (Page no : 169 ).
UNIT - 4 :
1) 7.6 E Theorem ( Page NO : 179 ).
2) Exercise 7.7 in 4) th Theorem ( Page no : 183 ).
3) State and prove the second mean- value theorem for integral.
UNIT - 5 :
1) prove that gn(x) = x/1+nx converges to uniformly to '0' on [ 0 to infinity ]. ( Page no : 231 ).
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