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how-can-find-taylor-series-of-f-z-cot-z-when-z-5pi-

Question Number 147417 by tabata last updated on 20/Jul/21 $${how}\:{can}\:{find}\:{taylor}\:{series}\:{of}\:{f}\left({z}\right)={cot}\left({z}\right)\:{when}\:{z}=\mathrm{5}\pi \\ $$ Answered by mathmax by abdo last updated on 21/Jul/21 $$\mathrm{f}\left(\mathrm{z}\right)=\sum_{\mathrm{n}=\mathrm{0}} ^{\infty} \:\frac{\mathrm{f}^{\left(\mathrm{n}\right)} \left(\mathrm{5}\pi\right)}{\mathrm{n}!}\left(\mathrm{z}−\mathrm{5}\pi\right)^{\mathrm{n}}…

How-can-we-apply-Cardano-s-method-in-2x-3-5x-2-x-2-i-get-u-and-v-are-solution-of-t-2-56t-6859-0-but-i-think-it-s-wrong-pls-help-

Question Number 147419 by Kunal12588 last updated on 20/Jul/21 $${How}\:{can}\:{we}\:{apply}\:{Cardano}'{s}\:{method}\:{in} \\ $$$$\mathrm{2}{x}^{\mathrm{3}} +\mathrm{5}{x}^{\mathrm{2}} +{x}+\mathrm{2} \\ $$$$ \\ $$$${i}\:{get}\:{u}\:{and}\:{v}\:{are}\:{solution}\:{of}\:{t}^{\mathrm{2}} −\mathrm{56}{t}+\mathrm{6859}=\mathrm{0} \\ $$$${but}\:{i}\:{think}\:{it}'{s}\:{wrong}\:{pls}\:{help} \\ $$ Answered by…

find-C-z-2-sin-z-2-dz-z-3pi-

Question Number 147406 by tabata last updated on 20/Jul/21 $${find}\:\int_{{C}} \frac{{z}+\mathrm{2}}{{sin}\left(\frac{{z}}{\mathrm{2}}\right)}{dz}\:\:\:,\mid{z}\mid=\mathrm{3}\pi \\ $$ Answered by Olaf_Thorendsen last updated on 20/Jul/21 $$\Omega\:=\:\int_{\mid{z}\mid=\mathrm{3}\pi} \frac{{z}+\mathrm{2}}{\mathrm{sin}\left(\frac{{z}}{\mathrm{2}}\right)}\:{dz} \\ $$$$\Omega\:=\:\int_{\mid{z}\mid=\mathrm{3}\pi} \frac{{z}+\mathrm{2}}{{z}}×\frac{{z}}{\mathrm{sin}\left(\frac{{z}}{\mathrm{2}}\right)}\:{dz}…

d-dn-n-

Question Number 147356 by Mrsof last updated on 20/Jul/21 $$\frac{{d}}{{dn}}\left({n}!\right) \\ $$ Answered by puissant last updated on 20/Jul/21 $$\Gamma\left({n}\right)=\left({n}−\mathrm{1}\right)!=\int_{\mathrm{0}} ^{+\infty} {t}^{{n}−\mathrm{1}} {e}^{−{t}} {dt} \\…