Visualization and interpretation of the limit

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Presentation transcript:

Visualization and interpretation of the limit

The values of x approach a from the right. i. e The values of x approach a from the right. i.e. the values of x decrease to a The values of f increase without bound We present in the next slide the possible graph a of function with this limit

f (x) increases without bound as

This limit indicates that the line x = a is a vertical asymptote in the positive direction

An interpretation of this limit If v is the value of the dollar and C is the cost of production, then the limit is interpreted as

The cost of production increases without bound the value of the dollar decreases to L When the value of the dollar decreases to L, the cost of production becomes unaffordable