Limit and Continuity

Conceptual Interactive Teaching Aid | Ghanashyam Adhikari

Live Visualizer

Boundary Point: Indeterminate (0/0) State

Mathematical Logic

Workshop Controls

Number of Sides ($n$): n = 3

Triangle (n = 3) Infinity (n → 100)

Visual Concept:

As the number of sides ($n$) approaches infinity, the regular polygon's bounded area matches the circle's area ($\pi r^2$) as a limit. This fundamental idea of limits is discussed thoroughly in the lesson presentation "limits master ppt.pptx".

Manual X-Coordinate Control: x = 0.50

Approach from Left Boundary point x = 1.0 Approach from Right

Double Approaching Visual:

In animation mode, watch both points approach the hole at $x=1$ simultaneously and vanish right before touching, demonstrating the behavior of LHL and RHL.

Select Continuity Scenario:

1. f(a) is defined

2. Limit exists

3. f(a) = Limit

Question 1 of 20 Score: 0

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