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### Math 115a Mathematica exercises #2

Course: MATH 115, Fall 2007
School: Yale
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(1 #3: + 1/n)2 Limit of sequence: 0 (1+1/n)^3 (1+1/n)^4 (1+1/n)^n Graphs a, b, and c all approach zero. The graphs reach the limit of zero much faster as the exponential power increases. Graph d achieves a different limit from the previous graphs. #6: 1/n num=100 1/n num=200 1/n^2 1/n^3 1/n^4 1/n^n These graphs indicate that as the power of the graphs increase, the graph approaches its limit much faster.

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(1 #3: + 1/n)2 Limit of sequence: 0 (1+1/n)^3 (1+1/n)^4 (1+1/n)^n Graphs a, b, and c all approach zero. The graphs reach the limit of zero much faster as the exponential power increases. Graph d achieves a different limit from the previous graphs. #6: 1/n num=100 1/n num=200 1/n^2 1/n^3 1/n^4 1/n^n These graphs indicate that as the power of the graphs increase, the graph approaches its limit much faster.
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