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Positive Infinity

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AP Calculus AB/BC

Definition

Positive infinity (∞) represents an infinitely large positive number that keeps increasing indefinitely without bound.

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Practice Questions (9)

On a graph, the function f(x) approaches positive infinity as x approaches a certain value. What can be concluded about the limit of f as x approaches that value?
Consider a graph where the function f(x) approaches a specific y-value as x approaches positive infinity. What can be concluded about the limit of f as x approaches positive infinity?
Consider a graph where the function f(x) approaches positive infinity as x approaches both positive and negative infinity. What can be concluded about the limit of f as x approaches infinity?
When estimating a limit value from a graph, if the y-values from the left and right sides approach positive infinity, what can be concluded about the limit?
What is the limit of the function f(x) = 2x + 1 as x approaches positive infinity?
What is the limit of the function f(x) = x^3 + 10x - 42 as x approaches positive infinity?
What is the limit of the function f(x) = (2x^2 + 10x)/(3x^2 + 5) as x approaches positive infinity?
What is the limit of the function f(x) = x^7 - x as x approaches positive infinity?
What is the limit of the function f(x) = (x-2)/(x^2+4) as x approaches positive infinity?

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