Toronto Math Forum
MAT334--2020F => MAT334--Lectures & Home Assignments => Chapter 1 => Topic started by: yuxuan li on October 02, 2020, 12:18:11 AM
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Can anyone solve this question?
Find the limit of each sequence that converges; if the sequence diverges, explain why.
3. z_n = n*(i/2)^n
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|zn| = |n(i/2)n| \leq |n/2n|, Because i1 = i, i2 = -1, i3 = -i, i4 = 1 ...
From MAT137, we learned that |n/2n| goes to 0 as n goes to infinity. Thus, zn is converge sequence.