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Question-141124

Question Number 141124 by iloveisrael last updated on 16/May/21 Answered by bobhans last updated on 16/May/21 Answered by EDWIN88 last updated on 16/May/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{1}}{\mathrm{cos}\:\left(\mathrm{sin}\:\mathrm{x}\right)+\sqrt{\mathrm{x}^{\mathrm{4}}…

lim-n-i-0-n-1-n-n-i-2-

Question Number 141127 by bobhans last updated on 16/May/21 $$\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:\underset{{i}=\mathrm{0}} {\overset{{n}−\mathrm{1}} {\sum}}\:\frac{{n}}{\left({n}+{i}\right)^{\mathrm{2}} }\:=?\: \\ $$ Answered by Ar Brandon last updated on 16/May/21 $$\mathscr{L}=\underset{\mathrm{n}\rightarrow\infty}…

h-ow-do-we-know-2017-and-another-number-is-a-prime-number-

Question Number 10050 by ridwan balatif last updated on 22/Jan/17 $$\mathrm{h}\:\mathrm{ow}\:\mathrm{do}\:\mathrm{we}\:\mathrm{know}\:\mathrm{2017}\:\mathrm{and}\:\mathrm{another}\:\mathrm{number}\:\:\mathrm{is}\:\mathrm{a}\:\mathrm{prime}\:\mathrm{number}? \\ $$ Commented by prakash jain last updated on 22/Jan/17 $$\mathrm{2017}\:\mathrm{is}\:\mathrm{a}\:\mathrm{prime}\:\mathrm{number}.\: \\ $$$$\mathrm{Since}\:\mathrm{it}\:\mathrm{has}\:\mathrm{only}\:\mathrm{two}\:\mathrm{factors} \\…

Define-the-inversion-transformation-of-Z-a-ib-where-i-is-imaginary-line-passing-through-the-circle-of-inversion-

Question Number 75580 by lalitchand last updated on 13/Dec/19 $$\mathrm{Define}\:\mathrm{the}\:\mathrm{inversion}\:\mathrm{transformation} \\ $$$$\mathrm{of}\:\mathrm{Z}=\mathrm{a}\:+\:\mathrm{ib}\:\mathrm{where}\:\mathrm{i}\:\mathrm{is}\:\mathrm{imaginary}\:\mathrm{line}\: \\ $$$$\mathrm{passing}\:\mathrm{through}\:\mathrm{the}\:\mathrm{circle}\:\mathrm{of}\:\mathrm{inversion}. \\ $$ Commented by MJS last updated on 13/Dec/19 $$\mathrm{it}'\mathrm{s}\:\mathrm{not}\:\mathrm{clear}.\:\mathrm{i}\:\mathrm{is}\:\mathrm{an}\:\mathrm{imaginary}\:\mathrm{line}? \\…

x-3-x-2-9-1-x-

Question Number 10043 by konen last updated on 21/Jan/17 $$\mid\mathrm{x}−\mathrm{3}\mid^{\mathrm{x}^{\mathrm{2}} −\mathrm{9}} =\mathrm{1}\:\:\Rightarrow\Sigma\mathrm{x}=? \\ $$ Answered by mrW1 last updated on 22/Jan/17 $${if}\:{a}^{{b}} =\mathrm{1},\:{then} \\ $$$${a}=\mathrm{1}\:{or}…