limit of a sequence

The sequence is said to converge if there exists a number L such that no matter how close we want the an to be to L, we can find a natural number k such that all terms {ak, ak+1, ...} are as close to L.

Then it is said that the sequence is convergent and L is its limit,     

Otherwise, it is said that the sequence is divergent.

·        is convergent and  

·      diverges and 

·     is an oscillating sequence and does not exist 







Exercise: calculate:



Solutions: a) -∞; b) 1; c) 0


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