Question
Download Solution PDFदिया गया है \(\rm \lim_{x\rightarrow \frac{\pi}{2}}(\sec \theta-\tan \theta)\) किसके बराबर है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या:
\(\rm \lim_{x\rightarrow \frac{\pi}{2}}(\sec \theta-\tan \theta)\)
= \(\rm \lim_{x\rightarrow \frac{\pi}{2}} \frac{1-\sin\theta }{\cos\theta} [\frac{0}{0}\) रूप]
= \(\rm \lim_{x\rightarrow \frac{\pi}{2}}( \frac{-\cos\theta}{-\sin\theta}) =0\) (L' हॉस्पिटल नियम का उपयोग करके)
इसलिए विकल्प (b) सही है।
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