Evaluate the Limit limit as x approaches infinity of 1/x

Problem

(lim_x→∞)(1/x)

Solution

1. Identify the behavior of the numerator and the denominator as x increases without bound.

2. Observe that the numerator is a constant value of 1

3. Analyze the denominator x which grows infinitely large as x→∞

4. Apply the property of limits where a constant divided by an expression that approaches infinity results in a value that approaches 0

Final Answer

(lim_x→∞)(1/x)=0

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