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Author: Tinku Tara

f-x-1276-x-1-ln-2-4589-domain-f-x-

Question Number 195647 by mathlove last updated on 06/Aug/23 $${f}\left({x}\right)=\frac{\mathrm{1276}}{\left({x}−\mathrm{1}\right)^{{ln}\frac{\mathrm{2}}{\mathrm{4589}}} } \\ $$$${domain}\:{f}\left({x}\right)=? \\ $$ Answered by Tokugami last updated on 17/Sep/23 $$\frac{\mathrm{1276}}{\left({x}−\mathrm{1}\right)^{\mathrm{ln}\left(\mathrm{2}\right)−\mathrm{ln}\left(\mathrm{4589}\right)} }=\mathrm{1276}\left({x}−\mathrm{1}\right)^{\mathrm{ln}\left(\mathrm{4589}\right)−\mathrm{ln}\left(\mathrm{2}\right)} \\…

an-unsolved-old-question-190875-a-b-c-are-real-roots-of-the-equation-x-3-7x-2-4x-1-0-find-1-a-1-3-1-b-1-3-1-c-1-3-

Question Number 195628 by mr W last updated on 06/Aug/23 $$\underline{{an}\:{unsolved}\:{old}\:{question}\:#\mathrm{190875}} \\ $$$${a},\:{b},\:{c}\:{are}\:{real}\:{roots}\:{of}\:{the}\:{equation} \\ $$$${x}^{\mathrm{3}} −\mathrm{7}{x}^{\mathrm{2}} +\mathrm{4}{x}+\mathrm{1}=\mathrm{0}. \\ $$$${find}\:\frac{\mathrm{1}}{\:\sqrt[{\mathrm{3}}]{{a}}}+\frac{\mathrm{1}}{\:\sqrt[{\mathrm{3}}]{{b}}}+\frac{\mathrm{1}}{\:\sqrt[{\mathrm{3}}]{{c}}}=? \\ $$ Commented by Frix last…

2-2-

Question Number 195627 by Boazmbura last updated on 06/Aug/23 $$\mathrm{2}+\mathrm{2} \\ $$ Commented by Frix last updated on 06/Aug/23 $${x}=\mathrm{2}+\mathrm{2}\:\Rightarrow\:\mathrm{3}.\mathrm{97}<{x}<\mathrm{4}.\mathrm{015} \\ $$ Terms of Service…

Question-195653

Question Number 195653 by mustafazaheen last updated on 06/Aug/23 Answered by MM42 last updated on 06/Aug/23 $${e}−\mathrm{1}>\mathrm{1}\:\:\: \\ $$$$\Rightarrow{lim}_{{x}\rightarrow\:\mathrm{0}^{+} } \:\left({e}−\mathrm{1}\right)^{\frac{\sqrt{\mathrm{3}}}{{x}}} =\infty \\ $$$$\Rightarrow{lim}_{{x}\rightarrow\:\mathrm{0}^{−} }…

0-lt-x-lt-1-1-1-x-1-2x-1-x-2-4x-3-1-x-4-8x-7-1-x-8-16x-15-1-x-16-evaluate-the-previous-summation-

Question Number 195651 by York12 last updated on 06/Aug/23 $$\mathrm{0}<{x}<\mathrm{1} \\ $$$$\frac{\mathrm{1}}{\mathrm{1}+{x}^{\mathrm{1}} }+\frac{\mathrm{2}{x}}{\mathrm{1}+{x}^{\mathrm{2}} }+\frac{\mathrm{4}{x}^{\mathrm{3}} }{\mathrm{1}+{x}^{\mathrm{4}} }+\frac{\mathrm{8}{x}^{\mathrm{7}} }{\mathrm{1}+{x}^{\mathrm{8}} }+\frac{\mathrm{16}{x}^{\mathrm{15}} }{\mathrm{1}+{x}^{\mathrm{16}} }+….+\infty \\ $$$${evaluate}\:{the}\:{previous}\:{summation} \\ $$ Answered…