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Analytic geometry and calculus (1917)

Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 162

An illustration from Analytic geometry and calculus, 1917, leaf 162
2 x5 = 2.5, /(x5)Ax = .1250 *6 = 2.(5, /(x6)Ax = .1352 a- =27x7 t, /(.-•- )Ax = . 1458 •\ x8 = 2.8, /(*8)Az = .1568 xfl = 2.9, /(z9)A* = .1682 1.2170 The first approximation to the area is therefore 1.217, whichexample, the value of thesum (1) for n = 10. (2) As a better approxi-mation the Btudent… … Fig. 126 determinations appear to be approaching a limit. By subsequentmethods it will be shown that this limit is 1/j. It is obvious that the direct calculation of the sum (1) is verytedious, if not practically impossible, if the number of terms isvery large. Some other method must be found to…

Geometry, Analytic · Calculus

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