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Author: Tinku Tara

The-x-n-sequence-is-specified-by-the-conditions-x-1-1982-x-n-1-1-4-x-n-n-0-find-lim-n-x-n-

Question Number 154252 by EDWIN88 last updated on 16/Sep/21 $$\:\:{The}\:\left\{{x}_{{n}} \right\}\:{sequence}\:{is}\:{specified} \\ $$$$\:{by}\:{the}\:{conditions}\: \\ $$$$\:\:\begin{cases}{{x}_{\mathrm{1}} =\mathrm{1982}}\\{{x}_{{n}+\mathrm{1}} =\frac{\mathrm{1}}{\mathrm{4}−{x}_{{n}} },{n}\geqslant\mathrm{0}}\end{cases} \\ $$$$\:{find}\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}{x}_{{n}} . \\ $$ Terms…

show-that-the-curve-with-parametric-equcations-x-t-2-3t-5-y-t-3-t-2-10t-9-intersect-at-the-point-3-1-

Question Number 23181 by lizan 123 last updated on 27/Oct/17 $${show}\:{that}\:{the}\:{curve}\:{with}\:{parametric}\: \\ $$$${equcations}\:\:{x}={t}^{\mathrm{2}} \:−\mathrm{3}{t}+\mathrm{5}, \\ $$$${y}={t}^{\mathrm{3}} \:+{t}^{\mathrm{2}} \:−\mathrm{10}{t}+\mathrm{9}\:{intersect}\:{at}\:{the}\: \\ $$$${point}\:\left(\mathrm{3},\mathrm{1}\right). \\ $$ Commented by mrW1…

Question-23170

Question Number 23170 by ajfour last updated on 26/Oct/17 Commented by ajfour last updated on 26/Oct/17 $${Q}.\mathrm{23162}\:\:\left({explanation}\right) \\ $$$${If}\:\bigtriangleup{ABD}\:\sim\:\bigtriangleup{ABC}\:\:{then}\:{no} \\ $$$${place}\:{for}\:{D}\:{in}\:{the}\:{inside}\:{of} \\ $$$$\bigtriangleup{ABC}\:. \\ $$…