At n = infinity =0, and at n=2, an=1/2=0.5 and for further even values of n you will get 1/4,1/6 and so on, which willl be less than 1/2. Hence, 1/2 is upper bound.
No, as for lower bound at n=1 gives -1, and for further odd values of n seq. will give values -1/5,-1/7 and so on greater than -1. Hence, -1 will be the lower bound.
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Sir, upper and lower limit of bounded sequence kya hoti hai plzz bta dijiye🙏
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Time Stamp
Monotonic Sequence & Bounded Sequence
0:00 | An Intro
0:23 | Topic Introduction: Sequence of Real Numbers
1:14 | Bounded Sequence: Bounded Above Sequence
1:45 | Easy Trick
2:32 | Example 1
2:47 | Example 2
3:07 | Example 3
3:38 | Example 4
3:59 | Example 5
4:36 | Bounded Below Sequence
5:06 | Example 1
5:27 | Example 2
5:43 | Example 3
5:58 | Example 4
6:32 | Example 5
6:53 | Bounded Sequence
7:03 | Example 1
7:27 | Example 2
7:32 | Example 3
7:54 | Theorem
9:05 | Monotonic Sequence: Monotonic Increasing Sequence
10:05 | Monotonic Decreasing Sequence
11:13 | Examples
12:35 | Conclusion of video
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Thanx sir please uploaded full syllabus video
[ 4:00 ] for n = infinity , = 1 , why the upper bound is 1/2 ?
At n = infinity =0, and at n=2, an=1/2=0.5 and for further even values of n you will get 1/4,1/6 and so on, which willl be less than 1/2. Hence, 1/2 is upper bound.
Best explanation sir
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Helping videos sir . Thanku sir
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Superb concept in sequence sir
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Superb explanation 〽️tomorrow is exam hope i'll complete all Real analysis 😑
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Sir, plz topology pr bhi vedio upload kr dijiye....
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Please reply
Please upload the next lecture sir
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Sir, (-1)^n/n is seq ka lower bound 0 hoga na......................
No, as for lower bound at n=1 gives -1, and for further odd values of n seq. will give values -1/5,-1/7 and so on greater than -1. Hence, -1 will be the lower bound.
Sir please make long video on this topic
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This isn't in English, right? I feel like I am losing my mind but somehow this makes more sense than how I learned it in class.
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Sk mapa
sir please elaborate clearly via examples whats the difference between monotonic increasing and strictly increasing sequence.
Watch H.D.MATHEMATICS CHANNEL u can clear ur doubt
Sir part 1 part 2 or no. Vise dala kro tumbnails pr thodi hlp hi jaegi video dhundhne me problem hita hai
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Sir you have said (-1)^3 both bounded and bounded above
Sirji group theory b hai kya real analysis k😒😒😒