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Author: Tinku Tara

why-any-infinitely-differentiable-function-is-a-power-series-mathematically-if-f-x-is-A-infinitely-differentiable-function-then-why-f-x-ax-0-bx-1-cx-2-dx-3-ex-4-for-example-sin-x-x-x

Question Number 21270 by Nayon last updated on 18/Sep/17 $$\mathrm{why}\:\mathrm{any}\:\mathrm{infinitely}\:\mathrm{differentiable}\: \\ $$$$\mathrm{function}\:\mathrm{is}\:\mathrm{a}\:\mathrm{power}\:\mathrm{series}? \\ $$$${mathematically}, \\ $$$${if}\:{f}\left({x}\right)\:{is}\:{A}\:{infinitely}\:{differentiable} \\ $$$${function}\:{then}\:{why} \\ $$$${f}\left({x}\right)={ax}^{\mathrm{0}} +{bx}^{\mathrm{1}} +{cx}^{\mathrm{2}} +{dx}^{\mathrm{3}} +{ex}^{\mathrm{4}} +…..…

if-A-B-C-pi-so-proof-sin-A-sin-B-sin-C-4cos-A-2-cos-B-2-cos-C-2-

Question Number 21268 by oyshi last updated on 18/Sep/17 $${if}\:{A}+{B}+{C}=\pi \\ $$$${so}\:{proof}\: \\ $$$$\mathrm{sin}\:{A}+\mathrm{sin}\:{B}+\mathrm{sin}\:{C}=\mathrm{4cos}\:\frac{{A}}{\mathrm{2}}\mathrm{cos}\:\frac{{B}}{\mathrm{2}}\mathrm{cos}\:\frac{{C}}{\mathrm{2}} \\ $$ Answered by myintkhaing last updated on 18/Sep/17 $$\mathrm{L}.\mathrm{H}.\mathrm{S}=\:\mathrm{sin}\:\mathrm{A}+\mathrm{sin}\:\mathrm{B}+\mathrm{sin}\:\mathrm{C} \\…

2x-3y-2z-2-

Question Number 21264 by AKBAR ALU HUSAIN last updated on 18/Sep/17 $$\mathrm{2x}+\mathrm{3y}+\mathrm{2z}=\mathrm{2} \\ $$ Answered by mrW1 last updated on 18/Sep/17 $$\mathrm{assumed}\:\mathrm{x},\mathrm{y},\mathrm{z}\in\mathbb{Z} \\ $$$$\mathrm{2x}+\mathrm{3y}=\mathrm{u} \\…

La-maison-d-en-face-Un-facteur-sonne-a-une-porte-pour-de-livrer-un-recommande-Un-pe-re-de-famille-ouvre-Il-dit-au-facteur-J-ai-trois-filles-Le-produit-de-leurs-a-ges-est-e-gal-a-

Question Number 152335 by Olaf_Thorendsen last updated on 27/Aug/21 $$\mathrm{La}\:\mathrm{maison}\:\mathrm{d}'\mathrm{en}\:\mathrm{face} \\ $$$$ \\ $$$$\mathrm{Un}\:\mathrm{facteur}\:\mathrm{sonne}\:\grave {\mathrm{a}}\:\mathrm{une}\:\mathrm{porte}\:\mathrm{pour} \\ $$$$\mathrm{d}\acute {\mathrm{e}livrer}\:\mathrm{un}\:\mathrm{recommand}\acute {\mathrm{e}}.\:\mathrm{Un}\:\mathrm{p}\grave {\mathrm{e}re}\:\mathrm{de} \\ $$$$\mathrm{famille}\:\mathrm{ouvre}.\:\mathrm{Il}\:\mathrm{dit}\:\mathrm{au}\:\mathrm{facteur}\:: \\ $$$$ \\…

if-subtle-and-sin-sin-3-cos-cos-so-proof-sin-3-sin-3-0-

Question Number 21260 by oyshi last updated on 17/Sep/17 $${if}\:\left(\theta−\varphi\right)\:{subtle}\:{and}\:\mathrm{sin}\:\theta+\mathrm{sin}\:\varphi=\sqrt{\mathrm{3}\left(\mathrm{cos}\:\varphi\right.} \\ $$$$\left.−\mathrm{cos}\:\theta\right) \\ $$$${so}\:{proof}\:\mathrm{sin}\:\mathrm{3}\theta+\mathrm{sin}\:\mathrm{3}\varphi=\mathrm{0} \\ $$ Answered by 951172235v last updated on 07/Feb/19 $$\mathrm{sin}\:\theta+\mathrm{sin}\:\varphi\:=\sqrt{\mathrm{3}}\:\left(\mathrm{cos}\:\varphi−\mathrm{cos}\:\theta\right) \\…