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Author: Tinku Tara

lim-x-0-x-sin-x-x-2-x-

Question Number 137902 by benjo_mathlover last updated on 08/Apr/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{x}−\mathrm{sin}\:{x}}{{x}^{\mathrm{2}} \:\sqrt{{x}}}\:=? \\ $$ Answered by greg_ed last updated on 08/Apr/21 $$ \\ $$$$\boldsymbol{\mathrm{L}}'\boldsymbol{\mathrm{Hopital}}'\boldsymbol{\mathrm{s}}\:\boldsymbol{\mathrm{rule}} \\…

Solve-simultaneously-1-u-1-v-1-3-equation-i-u-2-v-v-2-u-12-equation-ii-

Question Number 6824 by Tawakalitu. last updated on 30/Jul/16 $${Solve}\:{simultaneously} \\ $$$$\frac{\mathrm{1}}{{u}}\:+\:\frac{\mathrm{1}}{{v}}\:=\:\frac{\mathrm{1}}{\mathrm{3}}\:\:\:\:\:……….\:{equation}\:\left({i}\right) \\ $$$$\frac{{u}^{\mathrm{2}} }{{v}}\:+\:\frac{{v}^{\mathrm{2}} }{{u}}\:=\:\mathrm{12}\:\:\:\:\:\:……..\:{equation}\:\left({ii}\right) \\ $$ Commented by sou1618 last updated on 30/Jul/16…

Question-137893

Question Number 137893 by bemath last updated on 07/Apr/21 Answered by benjo_mathlover last updated on 08/Apr/21 $${by}\:{algebra} \\ $$$${let}\:{F}\left(\mathrm{0},\mathrm{0}\right),\:{D}\left(\mathrm{1},\mathrm{0}\right),\:{A}\left(\mathrm{0},\mathrm{1}\right),\:{C}\left(\mathrm{1},\mathrm{1}\right) \\ $$$${B}\left(\frac{\mathrm{1}}{\mathrm{2}},\mathrm{1}\right)\:,\:{E}\left(\frac{\mathrm{1}}{\mathrm{4}},\mathrm{0}\right) \\ $$$${eq}\:{of}\:{line}\:{AE}\::\:{x}+\frac{\mathrm{1}}{\mathrm{4}}{y}=\frac{\mathrm{1}}{\mathrm{4}};\: \\ $$$${eq}\:{of}\:{line}\:{FB}\::\:\:{y}=\mathrm{2}{x}\:…