T

Thanu dharshani. t. t Asked a Question January 5, 2021 6:31 am 30 pts Impoir points. Theorem: Every imit pOInt or ne range set of a sequence is limit point of a sequence. Solution : Let S be range set of sequence fal. i.e. S = range of fa,) Let a e S for e> 0 (a - &, a + 8) N S{a} has infinite no. of points Let q e (a E, a + 6) N S{a} E (a- &, a + s) and q e S As ES g a, for some k e N So a, e (a E, a + &) Hence, (a - E, a + 8) contains infinite no. of terms of sequence Proved a is limit point of sequence (a,

- 1 Likes
- 10 Comments
- Shares