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Visualization and interpretation of the limit
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The limit is at a from the left
The limit is at a from the left. The values of x approach a from the left. i.e. the values of x increase to a The values of f (x) increase without bound We present next, a possible graph of a function with this limit.
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f (x) increases without bound as
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This limit indicates that the line x = a is a vertical asymptote in the positive direction
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An interpretation of this limit
If p is the area contaminated by toxic waste and C is the cost of cleaning the area p, then the limit is interpreted as
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The cost of cleaning the toxic waste increases without bound
as the area p increases to L When that area reaches L the cost of cleaning it becomes unaffordable
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