Thursday, April 3, 2014

Section 12.2, Due on April 4

Infinite Series

What was difficult for me?

Even when I was back in calculus, I had trouble grasping the concept of infinite series.  It was always difficult for me to understand, and I never really got what itwas trying to teach me.  I only know that some series converge to one, some diverge, and some converge to other numbers.  Looking at the proofs, I understand the proof by induction and the other proofs, but it will be a major learning process for me to completely grasp this concept.

What did I enjoy?

I thoroughly enjoy thinking about things going on forever.  When I was a little kid, I used to add 1+1=2, 2+2=4, 4+4=8, 8+8=16, 16+16=32, etc.

I enjoy the process of series, of patterns.  It's always been very interesting to me.  And to think that some of these patterns actually converge to a number, that is fascinating.

I love patterns.

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