The denseness and performance index of Integrate Circuit (IC) have been enhanced rapidly in geometric series according to Moor's Law. Such extraordinary growth has made enormous contributions to the development of whole IT industry.
With the intensifying of the dust weathers, the dust thickness, total suspended particulates (TSP) of dust at the surface will increase in geometric series at the rate of 3 times.
Taking the teaching process of geometric series as an, example, the paper probes into the problems of the application of discovery teaching method in mathematics teaching.
In this paper, we discuss how to use the geometric series to find the sums of power series and to represent functions by power series.
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