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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Write the first 6 terms of the exponential seriesee12x - Mathematics

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Question

Write the first 6 terms of the exponential series
`"e"^(1/2x)`

Sum

Solution

ex = `1 + x/(∠1) + x^2/(∠2) + x^3/(∠3)`

`"e"^(1/2x) = 1+ 1/2x + (1/2 x)^2/(∠2) + (1/2 x)^3/(∠3) ...`

= `1+ x/2 + x^2/8 + x^3/48 + x^4/384 + x^5/3840 + ...`

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Infinite Sequences and Series
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Chapter 5: Binomial Theorem, Sequences and Series - Exercise 5.4 [Page 231]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 5 Binomial Theorem, Sequences and Series
Exercise 5.4 | Q 5. (iii) | Page 231

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