Menu Close

Lim-x-pi-2-sinx-sinx-sinx-1-sinx-logsinx-a-4-b-2-c-1-2-d-none-




Question Number 190182 by SLVR last updated on 29/Mar/23
Lim_(x→π/2) ((sinx−sinx^(sinx) )/(1−sinx+logsinx))  a)4        b)2          c)1/2        d)none
$${Li}\underset{{x}\rightarrow\pi/\mathrm{2}} {{m}}\frac{{sinx}−{sinx}^{{sinx}} }{\mathrm{1}−{sinx}+{logsinx}} \\ $$$$\left.{a}\left.\right)\left.\mathrm{4}\left.\:\:\:\:\:\:\:\:{b}\right)\mathrm{2}\:\:\:\:\:\:\:\:\:\:{c}\right)\mathrm{1}/\mathrm{2}\:\:\:\:\:\:\:\:{d}\right){none} \\ $$
Commented by SLVR last updated on 29/Mar/23
kindly help me
$${kindly}\:{help}\:{me} \\ $$
Commented by SLVR last updated on 29/Mar/23
i tried but by LHospital Rule  its too lenghty..
$${i}\:{tried}\:{but}\:{by}\:{LHospital}\:{Rule} \\ $$$${its}\:{too}\:{lenghty}.. \\ $$
Commented by Frix last updated on 29/Mar/23
Let sin x =t; t→1  Now l′Ho^� pital is possible ⇒ lim=2
$$\mathrm{Let}\:\mathrm{sin}\:{x}\:={t};\:{t}\rightarrow\mathrm{1} \\ $$$$\mathrm{Now}\:\mathrm{l}'\mathrm{H}\hat {\mathrm{o}pital}\:\mathrm{is}\:\mathrm{possible}\:\Rightarrow\:\mathrm{lim}=\mathrm{2} \\ $$
Commented by SLVR last updated on 29/Mar/23
Great....sir.Thanks
$${Great}….{sir}.{Thanks} \\ $$

Leave a Reply

Your email address will not be published.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