Evaluate the Limit limit as x approaches infinity of f(x)

Problem

(lim_x→∞)(ƒ(x))

Solution

1. Identify the behavior of the function ƒ(x) as the input variable x increases without bound toward positive infinity.

2. Analyze the expression for ƒ(x) to determine if it approaches a specific finite value, grows to infinity, or oscillates.

3. Apply limit laws or techniques such as dividing by the highest power of x in the denominator if ƒ(x) is a rational function.

4. Evaluate the resulting expression to find the horizontal asymptote or the end behavior of the function.

Final Answer

(lim_x→∞)(ƒ(x))=L

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