![f: [a,b] to R be a continous function s.t. f(a)<c<f(b) then x belongs to (a,b) s.t. f(x) = c | Limit and Continuity | continuity and connectedness | Real Analysis](https://omgmaths.com/wp-content/uploads/2021/03/U1c3X62dBKs-maxresdefault-440x264.jpg)
Description
Every Cauchy sequence is Bounded but converse is not true.
Every bounded sequence is not a Cauchy sequence.
example of bounded sequence but not a Cauchy sequence
(-1)^n is bounded but not a Cauchy sequence.
- Calculus
- Real Analysis
- compact and connected sets
- Compact and connected sets pdf
- Compactness and connectedness
- Countable Sets
- Perfect Set
- Infinite Series
- Limit and Continuity
- Metric space
- Real Analysis | Short Tricks | CSIR NET/GATE/IIT JAM
- sequence and series
- Sequences in metric space
- The Riemann-Stieltjes Integral
- Supremum and infimum
- Countable Sets
- Separation axioms
- Separation axioms
- sets and numbers
- Trigonometry and Matrices
- Plane Geometry
- Theory Of Equations
- CALCULUS II
Select Page