Find this positive number equal to its own factorial, its own square root, and its own reciprocal.
This is the value of the definite integral from x equals 1 to x equals infinity of dx over x squared. It also completes the square for the expression that starts off four x squared plus four x. It equals the sum of the infinite geometric series one-half plus one-fourth plus one-eighth, etcetera. Find this positive number equal to its own factorial, its own square root, and its own reciprocal.
This is the value of the definite integral from x equals 1 to x equals infinity of dx over x squared.
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