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Question Number 149383 by fotosy2k last updated on 05/Aug/21

Commented by fotosy2k last updated on 05/Aug/21

please help me

$${please}\:{help}\:{me} \\ $$

Answered by Ar Brandon last updated on 05/Aug/21

((2n+3)/(5n+1))=(2/5)∙((5n+((15)/2))/(5n+1))=(2/5)∙((5n+1+((13)/2))/(5n+1))              =(2/5)+((13/5)/(5n+1)), divergent

$$\frac{\mathrm{2}{n}+\mathrm{3}}{\mathrm{5}{n}+\mathrm{1}}=\frac{\mathrm{2}}{\mathrm{5}}\centerdot\frac{\mathrm{5}{n}+\frac{\mathrm{15}}{\mathrm{2}}}{\mathrm{5}{n}+\mathrm{1}}=\frac{\mathrm{2}}{\mathrm{5}}\centerdot\frac{\mathrm{5}{n}+\mathrm{1}+\frac{\mathrm{13}}{\mathrm{2}}}{\mathrm{5}{n}+\mathrm{1}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:=\frac{\mathrm{2}}{\mathrm{5}}+\frac{\mathrm{13}/\mathrm{5}}{\mathrm{5}{n}+\mathrm{1}},\:\mathrm{divergent} \\ $$

Commented by fotosy2k last updated on 05/Aug/21

thank you

$${thank}\:{you} \\ $$

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