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Differential Calculus2D

Functions, Limits, and Continuity - Theory & Concepts - Epsilon Delta

Master the foundational concepts of calculus: basic function properties, domain and range, limits, limit laws, the Squeeze Theorem, and continuity.

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Epsilon-Delta Visualization

Adjust the output tolerance (ϵ\epsilon) to see the required input window (δ\delta). The function is f(x)=2x+1f(x) = 2x + 1 with a limit of L=5L = 5 at c=2c = 2. Notice that δ=ϵ/2\delta = \epsilon / 2.

Values:
Limit L=5L = 5
L+ϵL + \epsilon = 6.00
LϵL - \epsilon = 4.00
Input c=2c = 2
Required δ\delta = 0.50
c+δc + \delta = 2.50
cδc - \delta = 1.50
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