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