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Question-209911

Question Number 209911 by 073 last updated on 25/Jul/24 Commented by mr W last updated on 25/Jul/24 $${what}'{s}\:{the}\:{difference}\:{between} \\ $$$$\left(\frac{\mathrm{1}}{\mathrm{1}+{x}}\right)^{\mathrm{2}} \:{and}\:\left(\left(\frac{\mathrm{1}}{\mathrm{1}+{x}}\right)^{\mathrm{2}} \right)? \\ $$ Commented…

Let-n-be-positive-integer-satisfies-a-n-1-1-n-1-n-1-1-n-1-n-1-Find-the-value-of-a-1-a-2-a-3-a-99-

Question Number 209881 by naka3546 last updated on 24/Jul/24 $$\mathrm{Let}\:{n}\:\mathrm{be}\:\mathrm{positive}\:\mathrm{integer}\:\mathrm{satisfies} \\ $$$$ \\ $$$${a}_{{n}} \:=\:\mathrm{1}\:+\:\sqrt{\frac{\mathrm{1}}{{n}}}\:−\:\sqrt{\frac{\mathrm{1}}{{n}+\mathrm{1}}}\:−\:\sqrt{\frac{\mathrm{1}}{{n}}\:−\:\frac{\mathrm{1}}{{n}+\mathrm{1}}} \\ $$$$ \\ $$$$\mathrm{Find}\:\:\mathrm{the}\:\:\mathrm{value}\:\:\mathrm{of}\: \\ $$$$ \\ $$$$\:\:\:{a}_{\mathrm{1}} {a}_{\mathrm{2}} {a}_{\mathrm{3}}…

Question-209763

Question Number 209763 by Ismoiljon_008 last updated on 20/Jul/24 Commented by Ismoiljon_008 last updated on 20/Jul/24 $$\:\:\:\mathscr{F}{ind}\:{the}\:{number}\:{of}\:{roots}\:{of}\:{the}\:{following} \\ $$$$\:\:\:{equation}\:{in}\:{the}\:{interval}\:\left[\:−\mathrm{2}\pi;\mathrm{2}\pi\:\right] \\ $$$$\:\:\:{help}\:{please} \\ $$ Answered by…