Check your Mathematics -4 - Sajha Mobile
SAJHA MOBILE
Check your Mathematics -4
Posts 8 · Viewed 4063 · Go to Last Post
Chintamani
· Snapshot
Like · Likedby · 0

Monotone sequence converges iff it is bounded, Prove it?

OcRam
· Snapshot
Like · Liked by · 0
Afon homework hami lai dini tesari Chintamani Ji, bhayena ni teo ta yaar.
Chintamani
· Snapshot
Like · Liked by · 0
hehe. Its just two lines answer.
Chintamani
· Snapshot
Like · Liked by · 0
HINT: Every Convergent sequence is bounded.
lootekukur
· Snapshot
Like · Liked by · 0
monotone sequence (of real nos ni pheri) converges when it has a finite limit. since limit is finite only when the swquence is bounded, the sequence converges iff it is bounded.
Chintamani
· Snapshot
Like · Liked by · 0
but that doesnot completes the proof
lootekukur
· Snapshot
Like · Liked by · 0
two steps:
1) you can prove that a monotone sequence converges when it has a finite limit (by contradiction...assume that a sequence has a finite limit and try to prove that it's not convergent...u'll get the contradiction).

2) the limit is finite iff it is bounded (by identity)
Confidential
· Snapshot
Like · Liked by · 0
lol...Chintamani is doing real analysis. Google it dude. :)
Please log in to reply to this post

You can also log in using your Facebook
View in Desktop
What people are reading
Visitor from US is reading Check your Mathematics -4
Visitor from US is reading appropriate word for "Experiment" in Nepal?i
Visitor from US is reading Nepal's Buddha boy 2B buried alive
Visitor from FI is reading क्यालिफोर्निया सेर्पा ल्होसार भव्यताका साथ सम्पन्न
Visitor from US is reading FLOOD THIS WEB PAGE
Visitor is reading PRE-NURSING student from the bay area needs suggestions?
Visitor is reading Nepali Don in Kathmandu
Visitor from US is reading भावी प्रधानमन्त्री अहिलेदेखि नै भारतमा फोन गर्न व्यस्त
Visitor from US is reading -- चौतारी जन्मोत्सव विशेषांक --
You might like these other discussions...
Sajha Classifieds
Classifieds Summary: Room/Apt in MA,NY,VA
· Posts 1 · Viewed 37
NepalNews Sajha
News Summary from Nepal for Thursday, October 23, 2025
· Posts 1 · Viewed 39
TRUEindependant
Dalals
· Posts 1 · Viewed 132
Sajha Classifieds
Classifieds Summary: Room/Apt in TX
· Posts 1 · Viewed 68
NepalNews Sajha
News Summary from Nepal for Wednesday, October 22, 2025
· Posts 1 · Viewed 61
Ktm55
Marriage (settled down)
· Posts 1 · Viewed 311
Oops i did it again » Oops i did it again
TPS ko faisala
· Posts 5 · Viewed 1851
Sajha Classifieds
Classifieds Summary: Room/Apt in MA,VA
· Posts 1 · Viewed 67
NepalNews Sajha
News Summary from Nepal for Tuesday, October 21, 2025
· Posts 1 · Viewed 72
Khaobaadi_Netaa
बिख्यात हास्य कलाकार अस्रानी संसार बाट बिदा भए
· Posts 1 · Viewed 291



Travel Partners
Travel House Nepal