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`lim_(thetato(pi)/(2)) (sec theta-tan theta)` का मान ज्ञात कीजिये। |
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Answer» `underset(thetato(pi)/(2))lim (sec theta-tan theta)=underset(thetato (pi)/(2))lim((1)/(cos theta)-(sin theta)/(cos theta))=underset(x to (pi)/(2))lim((1-sin theta)/(cos theta))` `=underset(thetato (pi)/(2))lim(((1-sintheta)cos theta)/(cos^(2)theta))=underset(thetato (pi)/(2))lim((1-sintheta)cos theta)/(1-sin^(2)theta)` `=underset(thetato (pi)/(2))lim(cos theta)/(1+sin theta)=(0)/(1+1)=0` |
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