lim _{x rightarrow pi / 2}(sec x-tan x) का मा | vedclass

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(D) $\lim _{x ightarrow \frac{\pi}{2}}(\sec x-	an x)$$\Rightarrow \lim _{x}$ ${ightarrow \frac{\pi}{2}} \left(\frac{1-\sin x}{\cos x}ight)$ (जो

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(D) $\lim _{x ightarrow \frac{\pi}{2}}(\sec x-	an x)$$\Rightarrow \lim _{x}$ ${ightarrow \frac{\pi}{2}} \left(\frac{1-\sin x}{\cos x}ight)$ (जो $\frac{0}{0}$ रूप है)$L$'$H$ôpital नियम का उपयोग करने पर:$\Rightarrow \lim _{x}$ ${ightarrow \frac{\pi}{2}} \frac{\frac{d}{dx}(1-\sin x)}{\frac{d}{dx}(\cos x)}$$\Rightarrow \lim _{x}$ ${ightarrow \frac{\pi}{2}} \frac{-\cos x}{-\sin x}$$\Rightarrow \lim _{x}$ ${ightarrow \frac{\pi}{2}} \cot x$$x = \frac{\pi}{2}$ रखने पर:$\Rightarrow \cot \frac{\pi}{2} = 0$

$\lim _{x \rightarrow \pi / 2}(\sec x-\tan x)$ का मान ज्ञात कीजिए।

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