Use Theorems 11.2.7—11.2.9 and properties 11.4.11, 11.4.12, and 11.4.13 to derive each statement in 27—30.
Derive the statement:
For all real numbers b and r with b > 1 and r > 0, for all sufficiently large real numbers x. thus there exists a real number k such that for all real numbers n > k ( b = 2 and r = 2):
Add 2n to each side:
Note that it is safe to assume that however, is positive when n > 1 and 2n is positive.
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