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Category: Permutation and Combination

Eight-eligible-bachelor-and-seven-beautiful-models-happen-randomly-to-have-purchased-single-seats-in-the-same-15-seats-row-of-theather-On-the-average-how-many-pairs-of-adjacent-seats-are-ticketed-

Question Number 131459 by bramlexs22 last updated on 05/Feb/21 Eighteligiblebachelorandsevenbeautifulmodelshappenrandomlytohavepurchasedsingleseatsinthesame15seatsrowoftheather.Ontheaverage,howmanypairsofadjacentseatsareticketedformarriageablecouples? Answered by bemath…

lim-x-1-x-1-ln-x-2-x-

Question Number 143462 by Willson last updated on 14/Jun/21 limx1x1ln(x2x)=??? Answered by Dwaipayan Shikari last updated on 14/Jun/21 $$\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\frac{{x}−\mathrm{1}}{{log}\left(\frac{{x}}{\mathrm{2}−{x}}\right)}=\underset{{z}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{z}}{{log}\left(\frac{\mathrm{1}+{z}}{\mathrm{1}−{z}}\right)}=\frac{{z}}{\mathrm{2}\left({z}+\frac{{z}^{\mathrm{3}} }{\mathrm{3}}+..\right)}=\frac{\mathrm{1}}{\mathrm{2}}…