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Question Number 62440 by mathsolverby Abdo last updated on 21/Jun/19 $${let}\:{h}\left({x}\right)=\:{arctan}\left({x}+\frac{\mathrm{1}}{{x}}\right) \\ $$$$\left.\mathrm{1}\right){calculate}\:{h}^{\left({n}\right)} \left({x}\right)\:{and}\:{h}^{\left({n}\right)} \left(\mathrm{1}\right) \\ $$$$\left.\mathrm{2}\right){developp}\:{f}\left({x}\right){at}\:{integr}\:{serie}\:{at}\:{x}_{\mathrm{0}} =\mathrm{1} \\ $$ Commented by mathmax by abdo…
Question Number 62435 by mathsolverby Abdo last updated on 21/Jun/19 $${calculate}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\frac{\left(\mathrm{1}+{x}\right)^{{sinx}} −\mathrm{1}}{{x}^{\mathrm{2}} } \\ $$ Commented by Smail last updated on 22/Jun/19 $$\left(\mathrm{1}+{x}\right)^{{sinx}} ={e}^{{ln}\left(\left(\mathrm{1}+{x}\right)^{{sinx}}…
Question Number 62434 by mathsolverby Abdo last updated on 21/Jun/19 $${let}\:{f}\left({x}\right)={ch}\left({cosx}\right) \\ $$$$\left.\mathrm{1}\right){calculste}\:{f}^{\left({n}\right)} \left({x}\right)\:{and}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{2}\right){developp}\:{f}\:{at}\:{integr}\:{serie} \\ $$ Terms of Service Privacy Policy Contact:…
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Question Number 62340 by Tawa1 last updated on 19/Jun/19 Commented by maxmathsup by imad last updated on 20/Jun/19 $$\left.\mathrm{3}\right)\:{f}\left({x}\right)+{xf}\left(−{x}\right)\:={x}\:\Rightarrow{f}\left(−{x}\right)−{xf}\left({x}\right)\:=−{x}\:\:\:{we}\:{get}\:{the}\:{systeme} \\ $$$$\begin{cases}{{f}\left({x}\right)+{xf}\left(−{x}\right)\:={x}}\\{{xf}\left({x}\right)−{f}\left(−{x}\right)={x}\:\:\:\:\:\:\:\left({with}\:{unknown}\:{f}\left({x}\right)\:{and}\:{f}\left(−{x}\right)\right)}\end{cases} \\ $$$$\Delta\:=\begin{vmatrix}{\mathrm{1}\:\:\:\:\:\:\:\:{x}}\\{{x}\:\:\:\:\:\:\:\:\:−\mathrm{1}}\end{vmatrix}=−\mathrm{1}−{x}^{\mathrm{2}} \\ $$$${f}\left({x}\right)\:=\frac{\Delta_{{f}\left({x}\right)}…
Question Number 127778 by Bird last updated on 02/Jan/21 $${study}\:{tbe}\:{convergence}\:{of} \\ $$$$\sum_{{n}} ^{\infty} \frac{\mathrm{1}}{{nln}\left(\mathrm{1}+{n}\right)} \\ $$ Answered by mnjuly1970 last updated on 02/Jan/21 $$\underset{{n}=\mathrm{1}} {\overset{\infty}…
Question Number 127773 by Bird last updated on 02/Jan/21 $${find}\:{lim}_{{x}\rightarrow\mathrm{1}} \:\:\:\int_{{x}} ^{{x}^{\mathrm{2}} } \:\frac{{sh}\left({xt}\right)}{{t}+{x}}{dt} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 62225 by maxmathsup by imad last updated on 17/Jun/19 $${let}\:{j}\:={e}^{\frac{{i}\mathrm{2}\pi}{\mathrm{3}}} \:\:\:{and}\:{P}\left({x}\right)\:=\left(\mathrm{1}+{jx}\right)^{{n}} −\left(\mathrm{1}−{jx}\right)^{{n}} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{P}\left({x}\right)\:{at}\:{form}\:{of}\:{arctan} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{roots}\:{of}\:{P}\left({x}\right) \\ $$$$\left.\mathrm{3}\right){factorize}\:{inside}\:{C}\left[{x}\right]\:\:{the}\:{polynome}\:{P}\left({x}\right) \\ $$$$\left.\mathrm{4}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:{P}\left({x}\right){dx} \\…
Question Number 62210 by maxmathsup by imad last updated on 17/Jun/19 $${let}\:{f}\left({x}\right)\:=\left({x}+\mathrm{1}\right)^{{n}} \:{arctan}\left({nx}\right) \\ $$$${calculate}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right). \\ $$ Commented by mathmax by abdo last updated…