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write-the-taylor-expansion-of-f-x-x-2-cos-x-at-x-1-then-f-5-x-at-x-1-




Question Number 162025 by mnjuly1970 last updated on 25/Dec/21
         write  the taylor expansion of :        f(x)= x^( 2) . cos(x)    at  x=1      then        f^( (5 )) (x)  at  x=1  ?
$$\:\:\:\: \\ $$$$\:\:\:{write}\:\:{the}\:{taylor}\:{expansion}\:{of}\:: \\ $$$$\:\:\:\:\:\:{f}\left({x}\right)=\:{x}^{\:\mathrm{2}} .\:{cos}\left({x}\right)\:\:\:\:{at}\:\:{x}=\mathrm{1} \\ $$$$\:\:\:\:{then}\:\:\:\:\:\:\:\:{f}^{\:\left(\mathrm{5}\:\right)} \left({x}\right)\:\:{at}\:\:{x}=\mathrm{1}\:\:? \\ $$$$ \\ $$

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