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Question-204395




Question Number 204395 by Thierrybadouana last updated on 15/Feb/24
Answered by Lindemann last updated on 20/Feb/24
=lim_(x→0) (((ln(1+x^2 ))/x^2 )×(x^2 /(sin^2 (x)))) = 1
$$=\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\frac{{ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}{{x}^{\mathrm{2}} }×\frac{{x}^{\mathrm{2}} }{{sin}^{\mathrm{2}} \left({x}\right)}\right)\:=\:\mathrm{1} \\ $$

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