Menu Close

Question-194425




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

Leave a Reply

Your email address will not be published. Required fields are marked *