Question Number 122729 by bemath last updated on 19/Nov/20
$$\:{Given}\:\underset{{x}\rightarrow{c}} {\mathrm{lim}}\:\mathrm{sin}\:\left(\frac{\mathrm{1}}{{x}}\right)\:=\:{a}\:{and}\: \\ $$$$\:\underset{{x}\rightarrow{c}} {\mathrm{lim}}\left(\:\mathrm{sin}\:^{\mathrm{2}} \left(\frac{\mathrm{1}}{{x}}\right)−\mathrm{4sin}\:\left(\frac{\mathrm{1}}{{x}}\right)+\mathrm{1}\:\right)=−\mathrm{2} \\ $$$${find}\:{the}\:{value}\:{of}\:{a}. \\ $$
Answered by liberty last updated on 19/Nov/20
