Replace x by -x in the Taylor series for ln (1 + x) to obtain a series
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Replace x by -x in the Taylor series for ln (1 + x) to obtain a series for ln (1 - x). Then subtract this from the Taylor series for ln (1 + x) to show that for |x| < 1,
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+ + 2 x + = X- x + In
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We begin by finding the Taylor series for ln1 x using the s...View the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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