The series converges to tan x for -/2 a. Find the first five terms of the series

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The seriesimage


converges to tan x for -π/2


a. Find the first five terms of the series for ln |sec x|. For what values of x should the series converge?


b. Find the first five terms of the series for sec2 x. For what values of x should this series converge?


c. Check your result in part (b) by squaring the series given for sec x in Exercise 58.



Data from in Exercise 58


The seriesimage


converges to sec x for -π/2

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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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