Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 440
l to the chord BE.This is evidently true if f(x)and f(x) are continuous. Formula (1) may be usedto prove the propositionwhich we have previouslyused without proof; namely,If the derivative of a functionis always zero, the function is a constant. For let/(./) be alwayszero and let a be any value of… … </.r {f(x) - <£(»] = 0 ; whence f(x) = tf>(x) + C. 197. The indeterminate form -. Consider the fraction0 and let a be a number such that f(a) (1)0. If 0 and 4>(<t)0 literally meaningless. It is customary, however, to define the value of the frac-tion (1), when x=a, as the limit…
Geometry, Analytic · Calculus
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