Question Number 203329 by Calculusboy last updated on 16/Jan/24 $$\boldsymbol{{find}}\:\boldsymbol{{the}}\:\boldsymbol{{ranges}}\:\boldsymbol{{of}}\:\boldsymbol{{value}}\:\boldsymbol{{of}}\:\boldsymbol{{x}}\:\boldsymbol{{for}}\:\boldsymbol{{which}}\: \\ $$$$\boldsymbol{{series}}\:\boldsymbol{{convergent}}\:\boldsymbol{{or}}\:\boldsymbol{{divergent}} \\ $$$$\underset{\boldsymbol{{n}}=\mathrm{1}} {\overset{\infty} {\boldsymbol{\sum}}}\frac{\left(\boldsymbol{{n}}+\mathrm{1}\right)}{\boldsymbol{{n}}^{\mathrm{3}} }\boldsymbol{{x}}^{\boldsymbol{{n}}} \\ $$ Answered by Mathspace last updated on…
Question Number 203313 by CrispyXYZ last updated on 16/Jan/24 $${a}_{{n}+\mathrm{1}} ={a}_{{n}} ^{\mathrm{2}} +\mathrm{2}{a}_{{n}} −\mathrm{2},\:{a}_{\mathrm{1}} =\mathrm{3}. \\ $$$$\mathrm{Prove}\:\mathrm{that}\Sigma\:\frac{\mathrm{1}}{{a}_{{n}} +\mathrm{2}}\:\leqslant\:\frac{\mathrm{3}}{\mathrm{10}}. \\ $$ Answered by witcher3 last updated…
Question Number 203330 by Calculusboy last updated on 16/Jan/24 Answered by MM42 last updated on 16/Jan/24 $$={lim}_{{x}\rightarrow\mathrm{1}} \:\frac{{sin}\left({x}−\mathrm{1}\right)}{\left({x}−\mathrm{1}\right)}\:×\frac{\mathrm{1}}{{x}+\mathrm{1}}=\frac{\mathrm{1}}{\mathrm{2}}\:\:\checkmark \\ $$ Commented by Calculusboy last updated…
Question Number 203308 by talminator2856792 last updated on 15/Jan/24 $$\:\:\mathrm{my}\:\mathrm{iq}\:\mathrm{is}\:\mathrm{not}\:\mathrm{good}\:\mathrm{enough}\:\mathrm{to}\:\mathrm{be}\:\mathrm{a}\:\mathrm{mathematician}.\:\: \\ $$$$\:\:\mathrm{i}\:\mathrm{dont}\:\mathrm{know}\:\mathrm{what}\:\mathrm{to}\:\mathrm{do}\:\mathrm{with}\:\mathrm{my}\:\mathrm{life}\:\mathrm{now}.\:\: \\ $$$$\:\:\mathrm{what}\:\mathrm{is}\:\mathrm{there}\:\mathrm{for}\:\mathrm{me}.\:\: \\ $$ Answered by behi834171 last updated on 16/Jan/24 $${hi} \\…
Question Number 203309 by hardmath last updated on 15/Jan/24 $$\mathrm{If}\:\:\:\mathrm{z}_{\mathrm{1}} =\:\mathrm{3}\:+\:\mathrm{3}\sqrt{\mathrm{3}}\:\boldsymbol{\mathrm{i}}\:\:\:\mathrm{and}\:\:\:\mathrm{z}_{\mathrm{2}} =\:-\mathrm{1}\:−\:\sqrt{\mathrm{3}}\:\boldsymbol{\mathrm{i}} \\ $$$$\mathrm{Find}:\:\:\:\frac{\mathrm{z}_{\mathrm{1}} ^{\:\mathrm{3}} }{\mathrm{z}_{\mathrm{2}} ^{\:\mathrm{6}} }\:=\:? \\ $$ Answered by Rasheed.Sindhi last updated…
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Question Number 203305 by Ari last updated on 15/Jan/24 Answered by mr W last updated on 15/Jan/24 $${y}={mx}+{c} \\ $$$$\Rightarrow{x}=\frac{{y}}{{m}}−\frac{{c}}{{m}}\:\Rightarrow{f}^{−\mathrm{1}} \left({x}\right)=\frac{{x}}{{m}}−\frac{{c}}{{m}} \\ $$$${f}^{−\mathrm{1}} \left({x}\right)={f}\left({x}\right) \\…
Question Number 203301 by MathematicalUser2357 last updated on 15/Jan/24 $$\mathrm{is} \\ $$$$\int\sqrt{{x}}{e}^{−{x}} {dx} \\ $$$$=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(\left(\underset{{k}=\mathrm{1}} {\overset{{n}} {\prod}}\frac{\mathrm{2}}{\mathrm{2}{k}+\mathrm{1}}\right){x}^{{n}} \sqrt{{x}}{e}^{−{x}} \right)+{C}? \\ $$ Answered by…
Question Number 203277 by cortano12 last updated on 14/Jan/24 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 203288 by hardmath last updated on 14/Jan/24 $$\mathrm{Find}:\:\:\:\underset{\boldsymbol{\mathrm{x}}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{1}\:−\:\mathrm{cos4x}}{\mathrm{x}^{\mathrm{2}} }\:=\:? \\ $$ Answered by MM42 last updated on 14/Jan/24 $$={lim}_{{x}\rightarrow\mathrm{0}} \:\frac{\mathrm{2}{sin}^{\mathrm{2}} \mathrm{2}{x}}{{x}^{\mathrm{2}} }\:…