Find maclaurin series using the first few terms for: 1/(x^2)((sinx)/(cosx)−x)

Rihanna Bentley

Rihanna Bentley

Answered question

2022-11-04

Find maclaurin series using the first few terms for:
1 x 2 ( sin x cos x x )

Answer & Explanation

luluna81mxmbk

luluna81mxmbk

Beginner2022-11-05Added 17 answers

Use the series expansion
1 1 y = 1 + y + y 2 + . . .
All you need are the first two terms. You have
sin x cos x = x x 3 6 + 1 x 2 2 +
o take y = x 2 2 . Then you get sin x cos x = x x 3 6 + 1 x 2 2 + = ( x x 3 6 + ) ( 1 + x 2 2 + )
finish it

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