EXAMPLES OF LIMITS OF SEQUENCES
1
an = n/(n + 1) = 1 - 1/(n + 1)
as n increases , 1/(n + 1) approaches zero
an = (n2 - 1)/(n2 + n + 1) =
(1 - 1/n2 )/(1/n2 + 1/n + 1)
as n increases , 1/n and 1/ n2 approch zero
so that an approaches 1/1 = 1
Previous slide
Next slide
Back to first slide
View graphic version