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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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Posted: May 02, 2023 09:42 AM

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Replace x by -x in the Taylor series for ln (1 + x) to obtain a series

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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

Thomas Calculus Early Transcendentals

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