Question Number 194425 by cortano12 last updated on 06/Jul/23 | ||
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$$\:\:\:\:\:\:\:\underbrace{ } \\ $$ | ||
Answered by horsebrand11 last updated on 06/Jul/23 | ||
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$$\:\:\:\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\:\frac{\sqrt{\mathrm{sin}\:\mathrm{x}}\:\left(\mathrm{1}+\frac{\sqrt{\mathrm{sin}\:\mathrm{x}}}{\mathrm{cos}\:\mathrm{x}}\right)}{\:\sqrt{\mathrm{x}}\:\left(\mathrm{1}+\:\sqrt{\mathrm{x}}\:\right)}=\:\mathrm{1} \\ $$ | ||