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Evaluate square root of infinity

Problem

√(,∞)

Solution

  1. Identify the nature of the expression. The symbol represents a value that increases without bound rather than a specific real number.

  2. Apply the property of the square root function. As the radicand x increases toward infinity, the value of √(,x) also increases toward infinity.

  3. Determine the limit. In the context of limits and extended real numbers, the square root of an infinitely large value remains infinitely large.

Final Answer

√(,∞)=∞


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