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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 72

An illustration from Analytic geometry and calculus, 1917, leaf 72
e-^smbx. The values of y may be computed by multiplying the ordinates ofthe curve y = e-* by the values of sin bx for the correspondingabscissas. Since the value ofsin bx oscillates between 1 and — 1,the values of e~ * sin bx cannotexceed those of e_ar. Hence thegraph lies in the portion of… … Ex. 4. y = ex. When x approaches zero, being positive,When x approaches zero, being negative,y approaches zero; for example, when T o\ (T> The function is therefore p-1000 — . increases without limit.7 = e1000, and when * e1000 discontinuous for x = 0. The line y = 1 is an asymptote (fig. 63),…

Geometry, Analytic · Calculus

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