Prove the following statements by using the definition of convergence for sequences of real numbers. a)...

Prove the following statements by using the definition of convergence for sequences of
real numbers.

a) If {cn} is a sequence of real numbers and {cn} converges to 1 then {1/(cn+1)} converges to 1/2

b) If {an} and {bn} are sequences of real numbers and {an} converges A and {bn} converges to B and B is not equal to 0 then {an/bn} converges to A/B

Expert Solution

Colby Messinger answered 2 years ago

Prove that the real numbers do not have cardinality using Cantor’s diagonalization argument.

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