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Question-115817

Question Number 115817 by A8;15: last updated on 28/Sep/20 Commented by Dwaipayan Shikari last updated on 28/Sep/20 $$\mathrm{Sorry},\:\mathrm{I}\:\:\mathrm{haven}'\mathrm{t}\:\mathrm{found}\:\mathrm{any}\:\mathrm{symmetry} \\ $$$$\mathrm{So}\:\mathrm{i}\:\mathrm{started}\:\mathrm{with}\:\mathrm{if}\:\mathrm{the}\:\mathrm{question}\:\mathrm{becomes}… \\ $$ Commented by Dwaipayan…

solve-lim-x-x-1-1-x-

Question Number 115812 by mathdave last updated on 28/Sep/20 $${solve} \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\zeta\left({x}\right)−\mathrm{1}\right)^{\frac{\mathrm{1}}{{x}}} \\ $$ Commented by Dwaipayan Shikari last updated on 28/Sep/20 $$\mathrm{Is}\:\mathrm{it}\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\zeta\left(\mathrm{x}\right)−\mathrm{1}\right)^{\frac{\mathrm{1}}{\mathrm{x}}}…

Given-that-p-2-3-q-4-m-and-r-n-4-If-p-q-r-is-a-unit-vector-find-the-value-of-m-and-n-

Question Number 115793 by ZiYangLee last updated on 28/Sep/20 $$\mathrm{Given}\:\mathrm{that}\:\underset{\backsim} {{p}}=\begin{pmatrix}{\:\:\mathrm{2}}\\{−\mathrm{3}}\end{pmatrix}\:,\:\underset{\backsim} {{q}}=\begin{pmatrix}{−\mathrm{4}}\\{\:\:\:{m}}\end{pmatrix}\:\mathrm{and}\:\underset{\backsim} {{r}}=\begin{pmatrix}{{n}}\\{\mathrm{4}}\end{pmatrix} \\ $$$$\mathrm{If}\:\underset{\backsim} {{p}}+\underset{\backsim} {{q}}−\underset{\backsim} {{r}}\:\mathrm{is}\:\mathrm{a}\:\mathrm{unit}\:\mathrm{vector},\:\mathrm{find}\:\mathrm{the}\:\mathrm{value} \\ $$$$\mathrm{of}\:{m}\:\mathrm{and}\:{n}. \\ $$ Answered by $@y@m…