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Unizor - Function Limits - Amazing Limits
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Unizor - Creative Minds through Art of Mathematics - Math4Teens
Amazing Limits
There are two very important limits that require special attention and non-trivial approach to analyze.
In this lecture we present them with full proof.
Amazing Limit #1
sin(x)/x → 1 as x→0
Amazing Limit #2
(1+x)^(1/x) → e as x→0
where e is a fundamental constant in Calculus, approximately equal to 2.71.
Amazing Limits
There are two very important limits that require special attention and non-trivial approach to analyze.
In this lecture we present them with full proof.
Amazing Limit #1
sin(x)/x → 1 as x→0
Amazing Limit #2
(1+x)^(1/x) → e as x→0
where e is a fundamental constant in Calculus, approximately equal to 2.71.
Unizor - Function Limits - Exercise 1
Unizor - Function Limits - Continuity
Unizor - Function Limits - Amazing Limits
Unizor - Function Limits - Standard Problems
Unizor - Function Limits - Properties
Unizor - Function Limit - Compound Functions
Unizor - Function Limits - One-Sided Limits
Unizor - Function Limits - Exercise 2
Unizor - Function Limit - Definition
Unizor - Function Limit - Steepness and Constant 'e'
Unizor - Function Limit - Bounded Functions
Unizor - Function Limit - Equivalence of Definitions
Unizor - Function Limit - Squeeze Theorem
Unizor - Function Limit - Extreme Value Theorem
Unizor - Limits - Number e as a Limit
Unizor - Function Limits - Exercise 3
Unizor - Function Limit - Intermediate Value Theorem
Unizor - Sequence Limit - Infinitesimals
Unizor - Limits - F(x)=e^x
Evaluate the limits from a discontinuos function
Unizor - Sequence Limit - Ratio of Polynomials
Unizor - Sequence Limit - Indeterminate Forms
Unizor - Sequence Limit - Bounded Sequence
Unizor - Sequence Limit - Infinity
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