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I-dont-know-how-to-show-the-functions-of-this-type-if-it-is-continuous-or-not-in-topological-space-I-know-the-method-is-to-use-one-of-two-properties-the-inverse-image-of-eah-open-is-open-and-the-i

Question Number 79081 by arkanmath7@gmail.com last updated on 22/Jan/20 $${I}\:{dont}\:{know}\:{how}\:{to}\:{show}\:{the}\:{functions}\:{of}\: \\ $$$${this}\:{type}\:{if}\:{it}\:{is}\:{continuous}\:{or}\:{not}\:{in}\:{topological}\:{space}. \\ $$$${I}\:{know}\:{the}\:{method}\:{is}\:{to}\:{use}\:{one}\:{of}\:{two}\:{properties}: \\ $$$${the}\:{inverse}\:{image}\:{of}\:{eah}\:{open}\:{is}\:{open}, \\ $$$${and}\:{the}\:{inverse}\:{image}\:{of}\:{each}\:{closed}\:{is}\:{closed} \\ $$$${but}\:{i}\:{dont}\:{know}\:{how}\:{to}\:{use}\:{them}. \\ $$$${i}\:{will}\:{be}\:{thaked}\:{if}\:{someone}\:{help}\:{ed}\:{me}\:{with}\:{the}\:{steps} \\ $$$$ \\…

Question-144607

Question Number 144607 by aliibrahim1 last updated on 26/Jun/21 Answered by mathmax by abdo last updated on 27/Jun/21 $$\mathrm{A}_{\mathrm{n}} =\prod_{\mathrm{k}=\mathrm{2}} ^{\mathrm{n}} \mathrm{e}\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{k}^{\mathrm{2}} }\right)^{\mathrm{k}^{\mathrm{2}} } \:\Rightarrow\prod_{\mathrm{n}=\mathrm{2}}…

find-lim-x-3-x-3-27-x-5-243-

Question Number 79064 by Khyati last updated on 22/Jan/20 $${find}\:\:{li}\underset{{x}\rightarrow\:−\mathrm{3}} {{m}}\frac{{x}^{\mathrm{3}} +\mathrm{27}}{{x}^{\mathrm{5}} +\mathrm{243}} \\ $$ Answered by john santu last updated on 22/Jan/20 $$\underset{{x}\rightarrow−\mathrm{3}} {\mathrm{lim}}\frac{\frac{{d}}{{dx}}\left({x}^{\mathrm{3}}…

lim-x-0-sin-x-sin-x-sin2-x-cos2-x-cos2-x-x-

Question Number 79065 by Khyati last updated on 22/Jan/20 $$\left.\right].\:{li}\underset{{x}\rightarrow\mathrm{0}} {{m}}\:\frac{\left[{sin}\left(\alpha+\beta\right){x}+{sin}\left(\alpha−\beta\right){x}+{sin}\mathrm{2}\alpha{x}\right.}{{cos}\mathrm{2}\beta{x}−{cos}\mathrm{2}\alpha{x}}.{x} \\ $$ Commented by jagoll last updated on 22/Jan/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\left[\mathrm{sin}\:\left(\alpha+\beta\right)\mathrm{x}+\mathrm{sin}\:\left(\alpha−\beta\right)\mathrm{x}+\mathrm{sin}\:\mathrm{2}\alpha\mathrm{x}\right]}{\mathrm{cos}\:\mathrm{2}\beta\mathrm{x}−\mathrm{cos}\:\mathrm{2}\alpha\mathrm{x}}×\:\mathrm{x}? \\ $$ Commented…

Question-144602

Question Number 144602 by phally last updated on 26/Jun/21 Answered by mathmax by abdo last updated on 27/Jun/21 $$\mathrm{u}_{\mathrm{n}} =\sum_{\mathrm{k}=\mathrm{1}} ^{\mathrm{n}} \:\frac{\mathrm{cos}\left(\mathrm{k}\right)}{\mathrm{k}\left(\mathrm{k}+\mathrm{1}\right)}\:\Rightarrow\mathrm{lim}_{\mathrm{n}\rightarrow\infty} \mathrm{u}_{\mathrm{n}} =\sum_{\mathrm{k}=\mathrm{1}} ^{\infty}…

The-number-of-real-numbers-in-0-2pi-satisfying-sin-1-x-2sin-2-x-1-0-is-

Question Number 79055 by gopikrishnan last updated on 22/Jan/20 $${The}\:{number}\:{of}\:{real}\:{numbers}\:{in}\:\left[\mathrm{0},\mathrm{2}{pi}\right]\:{satisfying}\:\mathrm{sin}^{−\mathrm{1}} {x}−\mathrm{2}{sin}^{\mathrm{2}} {x}+\mathrm{1}=\mathrm{0}\:{is} \\ $$ Commented by mr W last updated on 22/Jan/20 $${sir}:\:{i}\:{asked}\:{you}\:{repeatedly}\:{not}\:{to} \\ $$$${write}\:{the}\:{whole}\:{post}\:{in}\:{a}\:{single}\:{line}.…

The-angle-between-the-planes-r-2i-2j-2k-4-and-4x-2y-2z-15-is-

Question Number 79054 by gopikrishnan last updated on 22/Jan/20 $${The}\:{angle}\:{between}\:{the}\:{planes}\:\overset{\rightarrow} {{r}}.\left(\mathrm{2}\overset{\rightarrow} {{i}}+\mathrm{2}\overset{\rightarrow} {{j}}+\mathrm{2}\overset{\rightarrow} {{k}}\right)=\mathrm{4}\:{and}\:\mathrm{4}{x}−\mathrm{2}{y}+\mathrm{2}{z}=\mathrm{15}\:{is} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com