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Question Number 14878 by Tinkutara last updated on 05/Jun/17
Find the number of solution of equation  x sin x = 2
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{solution}\:\mathrm{of}\:\mathrm{equation} \\ $$$${x}\:\mathrm{sin}\:{x}\:=\:\mathrm{2} \\ $$
Commented by ajfour last updated on 05/Jun/17
in such a question interval is   mentioned, or we have infinite  number of solutions for xsin x=2    intersections of y=sin x  and  y=(2/x) .
$${in}\:{such}\:{a}\:{question}\:{interval}\:{is}\: \\ $$$${mentioned},\:{or}\:{we}\:{have}\:{infinite} \\ $$$${number}\:{of}\:{solutions}\:{for}\:{x}\mathrm{sin}\:{x}=\mathrm{2} \\ $$$$\:\:{intersections}\:{of}\:{y}=\mathrm{sin}\:{x}\:\:{and} \\ $$$${y}=\frac{\mathrm{2}}{{x}}\:. \\ $$
Commented by ajfour last updated on 05/Jun/17
Commented by Tinkutara last updated on 05/Jun/17
Thanks Sir! Answer is ∞.
$$\mathrm{Thanks}\:\mathrm{Sir}!\:\mathrm{Answer}\:\mathrm{is}\:\infty. \\ $$

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