Question Number 199983 by cortano12 last updated on 11/Nov/23
$$\:\:\:\mathrm{find}\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\mathrm{sin}\:\left(\frac{\pi\mathrm{x}}{\mathrm{5}+\mathrm{3x}}\right)\: \\ $$$$\:\:\mathrm{by}\:\mathrm{sequeeze}\:\mathrm{theorem} \\ $$
Answered by tri26112004 last updated on 12/Nov/23
$${We}\:{have}\: \\ $$$$\mid{sin}\left(\:\frac{\pi{x}}{\mathrm{5}+\mathrm{3}{x}}\right)\mid\:\leqslant\:\mathrm{1} \\ $$$$\rightarrow\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:{sin}\:\left(\frac{\pi{x}}{\mathrm{5}+\mathrm{3}{x}}\right)\:\leqslant\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\mathrm{1}\:=\:\mathrm{1} \\ $$
Commented by cortano12 last updated on 13/Nov/23
$$\mathrm{wrong}\:\mathrm{answer} \\ $$
Commented by tri26112004 last updated on 14/Nov/23
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