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Geometrically, $\epsilon$ defines a horizontal band around the limit value $L$ on the y-axis, representing the target range for function outputs. $\delta$ defines a vertical interval around the input value $a$ on the x-axis, representing the allowable range for inputs.

Conditions: The graph is plotted on a Cartesian coordinate system.; $\epsilon$ is the half-height of the band around $L$.; $\delta$ is the half-width of the interval around $a$.

Geometrically, $\epsilon$ defines a horizontal band around the limit value $L$ on the y-axis, representing the target range for function outputs. $\delta$ defines a vertical interval around the input value $a$ on the x-axis, representing the allowable range for inputs.

Conditions: The graph is plotted on a Cartesian coordinate system.; $\epsilon$ is the half-height of the band around $L$.; $\delta$ is the half-width of the interval around $a$.