Sequence of Real Numbers | Range of Sequence | Bounded and Unbounded Sequence | Real Sequences : 01

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REAL ANALYSIS (Sequence of Real Numbers)
In this video we will discuss :
1. What is Sequence & What is Real Sequence
2. Range/ Range Set of a Sequence
3. Bounded & Unbounded Sequence
PLAYLISTS LINK :
1. Cauchy integral formula and proof
• Cauchy Integral Theore...
2. Maxima & Minima (Extreme Values)
• Maxima & Minima (Extre...
3. ε-δ Definition of Limit
• ε-δ Definition of Limit
4. BSc Mathematics
• BSc Mathematics
5. Conformal Mapping
• Conformal Mapping
6. Complex Analysis
• Complex Analysis
7. Singularity and Residue
• Singularity and Residue
8. Differential Equation of first order & first Degree
• Differential Equation ...
9. Differential Equation
• Differential Equation
10. Point Set Topology in Real Analysis
• Point Set Topology in ...
11. Countability of Sets (Real Analysis)
• Countability of Sets (...
12. Sequence of Real numbers
• Sequence of Real numbers
#RealSequences
#RealAnalysis
#CSIR-NET
#GATE
#IIT-JAM
#highermathematics

[@kirtisirsate1432]

Sir i have doubt in ex. Of (-n)^2.....
(- 1)^2=1,(- 2)^2=4.......=(1,4,9....)
Then it is bounded below and it's value is 1....and it is not bounded above...
Then how can you say that it is bounded above...

[@ignitedminds2147]

It was not (-n)^2
It was -(n)^2 in question which means -1, -4, -9 ....
So it is decreasing sequence and -1 is supremum value
It is bounded above but not bounded below so unbounded

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=
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