Show that the set of functions { sin x, x sin x, x2 sin x,

Chapter 6, Problem 3RP

(choose chapter or problem)

Show that the set of functions $\left\{\sin x, x \sin x, x^{2} \sin x x^{3} \sin x\right\}$ is linearly independent on $(-\infty, \infty)$.

Equation Transcription:

$\{sin\ x,x\ sin\ x,{x}^{2}sin\ x\ {x}^{3}sin\ x\}$

$(-\infty{},\infty{})$

Text Transcription:

{sin⁡ x,x sin⁡ x,x^2sin⁡ x, x^3sin⁡ x}

(-infinity,infinity)

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