# using quantifiers

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By definition, 〖lim〗_(n→∞ ) a_n=L if for every ε>0, the re exists a positive number N such that if n is an integer with n>N, then |a_n-L|<ε. By taking the negation of this definition, write out the meaning of 〖lim〗_(n→∞) a_n≠L using quantifiers. Then write out the meaning of {a_n } diverges using quantifiers.

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By definition, 〖lim〗_(n→∞ ) a_n=L if for every ε>0, the re exists a positive number N such that if n is an integer with n>N, then ...

#### Solution Summary

The use of quantifiers is applied.

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