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Visualization and interpretation of the limit
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The values of f decrease without bound
The values of f decrease without bound. In absolute terms they increase without bound. The values of x approach a from the right. i.e. the values of x decrease to a We present in the next slide the graph of a function with this limit.
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f (x) decreases without bound as
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This limit indicates that the line x = a is a vertical asymptote in the negative direction
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An interpretation of this limit
If i is the income of a household and D is its deficit, the limit Is interpreted as
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the deficit D decreases without bound
the deficit D decreases without bound. In absolute terms it increases without bound. as the income i decreases to a As the income decreases to a, the debt, in absolute terms, increases and reaches a level of insolvency.
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