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Category: Relation and Functions

Find-the-domain-of-the-function-and-sketch-the-graph-f-x-2x-1-if-x-lt-0-x-2-if-0-x-2-1-if-x-2-

Question Number 49983 by Tawa1 last updated on 12/Dec/18 Findthedomainofthefunctionandsketchthegraphf(x)={2x1,ifx<0x2,if0x21,ifx2 Answered by kaivan.ahmadi last updated on 15/Dec/18 thisisnotafunctionsincef(0.5)=0.25forf(x)=x2$$\mathrm{and}\:\mathrm{f}\left(\mathrm{0}.\mathrm{5}\right)=\mathrm{1}\:\mathrm{for}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{1}.…

find-the-sequence-a-n-wich-verify-n-1-x-n-n-0-x-n-n-1-n-0-a-n-x-n-also-find-the-radius-of-this-serie-

Question Number 49961 by maxmathsup by imad last updated on 12/Dec/18 findthesequence(an)wichverify$$\left(\sum_{{n}=\mathrm{1}} ^{\infty} \:{x}^{{n}} \right)\left(\sum_{{n}=\mathrm{0}} ^{\infty} \:\:\frac{\left(−{x}\right)^{{n}} }{{n}+\mathrm{1}}\right)=\sum_{{n}=\mathrm{0}} ^{\infty} \:{a}_{{n}} {x}^{{n}} \:\:{also}\:{find}\:{the}\:{radius}\:{of}\:{this}\:{serie}.…