Question Number 116819 by joki last updated on 07/Oct/20 $${prove}\:{the}\:{limit} \\ $$$${li}\underset{{x}−\rangle\mathrm{2}} {{m}}\sqrt{\mathrm{2}{x}}=\mathrm{2} \\ $$ Answered by 1549442205PVT last updated on 07/Oct/20 $$\mathrm{Suppose}\:\mathrm{0}<\epsilon<\mathrm{2}\:\mathrm{be}\:\mathrm{arbitrary}\:\mathrm{small}\:\mathrm{numer} \\ $$$$\mathrm{so}\:\mathrm{that}\mid\sqrt{\mathrm{2x}}−\mathrm{2}\mid<\epsilon\Leftrightarrow−\epsilon+\mathrm{2}<\sqrt{\mathrm{2x}}<\epsilon+\mathrm{2}…
Question Number 182347 by SANOGO last updated on 08/Dec/22 $${s}\left({x}\right)=\underset{{n}\epsilon{N}} {\overset{+{oo}\:\:} {\sum}}\:\frac{{n}^{\mathrm{2}} \left({n}+\mathrm{1}\right)^{\mathrm{2}} }{{n}!}{x}^{{n}} =? \\ $$ Answered by mr W last updated on 08/Dec/22…
Question Number 116779 by mathdave last updated on 06/Oct/20 $${solve} \\ $$$${x}^{{x}} =\mathrm{2} \\ $$ Answered by Dwaipayan Shikari last updated on 06/Oct/20 $${xlogx}={log}\left(\mathrm{2}\right) \\…
Question Number 116776 by abony1303 last updated on 06/Oct/20 $$\mathrm{Given}\:\mathrm{function}: \\ $$$${f}\left({x}\right)=\begin{cases}{\mathrm{2}{x}^{\mathrm{2}} +\mathrm{1},\:\:\mid{x}\mid<\mathrm{3}}\\{\mathrm{5x}−\mathrm{1},\:\:\mid{x}\mid\geqslant\mathrm{3}}\end{cases} \\ $$$$\mathrm{Find}\:\mathrm{out}:\:{f}\left({x}^{\mathrm{2}} +\mathrm{7}\right)=? \\ $$$$ \\ $$$$\left.\mathrm{A}\left.\right)\left.\mathrm{5x}^{\mathrm{2}} −\mathrm{34}\:\:\:\:\:\mathrm{B}\right)\mathrm{2x}^{\mathrm{2}} +\mathrm{8}\:\:\:\mathrm{C}\right)\mathrm{5x}^{\mathrm{2}} +\mathrm{36} \\ $$$$\left.\mathrm{D}\left.\right)\mathrm{5x}^{\mathrm{2}}…
Question Number 116770 by bounhome last updated on 06/Oct/20 $${how}\:{to}\:{prove}\:{the}\:{Pythagorean}\:{theorem}\left({c}^{\mathrm{2}} ={a}^{\mathrm{2}} +{b}^{\mathrm{2}} \right) \\ $$ Commented by $@y@m last updated on 06/Oct/20 https://www.math-only-math.com/proof-of-pythagorean-theorem.html#:~:text=The%20proof%20of%20Pythagorean%20Theorem,of%20c%20(c2). Answered by…
Question Number 116767 by bounhome last updated on 06/Oct/20 $${if}\:\:{A}×{B}=\mathrm{0}\:{how}\:{to}\:{prove}\:{A}=\mathrm{0}\:{or}\:{B}=\mathrm{0} \\ $$ Commented by Bird last updated on 07/Oct/20 $${not}\:{correct}\:{in}\:{Z}/\mathrm{2}{Z} \\ $$ Terms of Service…
Question Number 51228 by Gulay last updated on 25/Dec/18 Commented by Gulay last updated on 25/Dec/18 $$\mathrm{y}=\mathrm{2}.\mathrm{3} \\ $$$$\mathrm{sir}\:\mathrm{could}\:\mathrm{you}\:\mathrm{help}\:\mathrm{me} \\ $$ Answered by $@ty@m last…
Question Number 182298 by SEKRET last updated on 07/Dec/22 Answered by mr W last updated on 07/Dec/22 $${radius}:\:{r} \\ $$$${center}:\:\left({k},\mathrm{2}−{r}\right) \\ $$$${touching}\:{point}\:{with}\:{y}={x}^{\mathrm{2}} :\:\left({p},{p}^{\mathrm{2}} \right) \\…
Question Number 51220 by Gulay last updated on 25/Dec/18 Commented by Gulay last updated on 25/Dec/18 $$\mathrm{sir}\:\mathrm{help}\:\mathrm{me}\:\mathrm{pls} \\ $$$$ \\ $$ Answered by afachri last…
Question Number 116753 by ayenisamuel last updated on 06/Oct/20 $${if}\:\mathrm{4}^{{x}} =\mathrm{8}{x}\:{find}\:{x} \\ $$ Answered by TANMAY PANACEA last updated on 06/Oct/20 $${x}=\mathrm{2} \\ $$ Terms…