since this can be represented as the geometric series:

9/10 * (1 + 1/10 + 1/100 + 1/1000 + ...)

The formula for calculating an infinite series is:

a/(1-r)

where: a is the first item in the series and r is the rate of change.

9/10 is the first number and 1/10 is the rate of change.

Therefore:

(9/10)/(1-1/10) = (9/10)/(9/10) = 1

Q.E.D.

]]>At most you can say:

\lim x -> \inf 1/x = 0

This is all calculus. For some free calculus texts see a recent Slashdot story: http://books.slashdot.org/books/04/03/04/028253.shtml

]]>So no, 1/infinity != 0. Zero is a real number, and 1/infinity is the hyperreal number right about zero.

]]>A constant and e to the x are walking down the road when they see a derivative approaching. Upon seeing the derivative the constant screams, "I'm surely a goner!" e to the x calmly replies, "I have nothing to fear." As the derivative gets closer, the constant runs away in terror. e to the x calls out to the derivative, "you do not scare me!" When the derivative finally reaches e to the x, he extends his hand and says, "Hello I'm d/dt".

]]>"First, assume epsilon greater than zero..."

]]>I wish my school did it like that, with a 90 being an A. Currently a 93 is the lowest A you can get. Argh.

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