Question Number 184774 by lapache last updated on 11/Jan/23
$${Calcul}\:{the}\:{sum} \\ $$$$\mathrm{1}.\Sigma{x}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\frac{\mathrm{1}}{\mathrm{2}}} \\ $$$$\mathrm{2}.\Sigma{xarctan}\left({x}\right) \\ $$$$\mathrm{3}.\Sigma{e}^{{x}} {sinx} \\ $$$$\mathrm{4}.\Sigma\left(\mathrm{2}{x}+\mathrm{1}\right)^{\mathrm{20}} \\ $$$$\mathrm{5}.\Sigma\sqrt{{a}^{\mathrm{2}} −{x}^{\mathrm{2}} \:}\:{a}>\mathrm{0} \\ $$$$\mathrm{6}.\Sigma{xsinx} \\ $$
Commented by mr W last updated on 11/Jan/23
$$\Sigma{x}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\frac{\mathrm{1}}{\mathrm{2}}} \:{makes}\:\:{no}\:{sense},\:{the}\:{other}\: \\ $$$${ones}\:{also}. \\ $$$${please}\:{study}\:{at}\:{first}\:{what}\:\Sigma\:{means} \\ $$$${and}\:{how}\:{to}\:{use}\:{it}\:{and}\:{then}\:{check}\:{your} \\ $$$${question}\:{again}. \\ $$$$\underset{{x}=\mathrm{1}} {\overset{\mathrm{100}} {\sum}}{x}^{\mathrm{2}} \:{makes}\:{sense}. \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\mathrm{100}} {\sum}}{x}^{\mathrm{2}} \:{makes}\:{also}\:{sense}. \\ $$$$\int_{\mathrm{1}} ^{\mathrm{100}} {x}^{\mathrm{2}} {dx}\:{makes}\:{sense}. \\ $$$$\int{x}^{\mathrm{2}} {dx}\:{makes}\:{also}\:{sense}. \\ $$$$… \\ $$
Commented by SEKRET last updated on 11/Jan/23
$$ \\ $$👍👍👍
Answered by SEKRET last updated on 11/Jan/23
$$\:\infty;\propto;\propto;\propto;\infty;\infty \\ $$$$ \\ $$