Weekend Revision day✌️

lim a^1/n =1 if a is always positive | Limit of Sequence

If {xₙ} converges to l and {yₙ} converges to m where xₙ is less than yₙ ∀n then l≤ m | Sequence

If {xₙ} is a sequence of non-negative terms such that xₙ=l, then l≥0 |Important theorem of Sequence

If lim{ xₙ } = l then lim{| xₙ|} = | l |

A convergent sequence is bounded | Is the converse true |

A Convergent Sequence must have a unique limit | A Sequence has a limit l then it must be unique

Limit of Sequence - Definition | Properties | Examples

Sequence - Definition, Examples, Types of Sequence

Uniform Continuity of 1/x | Is 1/x Uniformly Continuous or Not

Uniform Continuity of x^2 | Is x^2 Uniformly Continuous or Not

If a function is continuous on [a,b] then the function is uniformly continuous on [a,b] |

If a function is uniformly continuous on an interval, the function is continuous on the interval

Uniform Continuity | Difference between Uniform Continuity & Continuity | Examples

Intermediate Value Theorem | Proof & Application of Intermediate Value Theorem | IVT

Bolzano's Theorem | Neighborhood Property | Proof of Bolzano's Theorem | Continuity of a Function

Continuity of a Function at a Point | Definition | Properties | Examples

Limit of Function - Lecture 3 | Neighborhood Property | Examples of Limit of Function

Limit of Function - Lecture 2|Properties of limit of function |Squeeze Theorem |Sandwich Theorem

Limit of Function - Lecture 1| Cachy's Criterion for existence of limit of a function