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Category: Relation and Functions

Let-f-N-R-be-a-function-sarisfying-following-conditions-f-1-1-f-1-2f-2-nf-n-n-n-1-f-n-Then-find-the-value-of-49f-49-

Question Number 33048 by rahul 19 last updated on 09/Apr/18 $${Let}\:{f}:{N}\rightarrow{R}\:{be}\:{a}\:{function}\:{sarisfying} \\ $$$${following}\:{conditions}: \\ $$$${f}\left(\mathrm{1}\right)=\mathrm{1}. \\ $$$${f}\left(\mathrm{1}\right)+\mathrm{2}{f}\left(\mathrm{2}\right)+….+{nf}\left({n}\right)={n}\left({n}+\mathrm{1}\right){f}\left({n}\right). \\ $$$${Then}\:{find}\:{the}\:{value}\:{of}\:\mathrm{49}{f}\left(\mathrm{49}\right)\:? \\ $$ Commented by rahul 19…

If-range-of-f-x-x-1-x-2-x-3-x-4-5-x-6-6-is-a-b-a-b-N-find-a-b-

Question Number 33036 by rahul 19 last updated on 09/Apr/18 $${If}\:{range}\:{of}\: \\ $$$${f}\left({x}\right)=\:\left({x}+\mathrm{1}\right)\left({x}+\mathrm{2}\right)\left({x}+\mathrm{3}\right)\left({x}+\mathrm{4}\right)+\mathrm{5} \\ $$$${x}\in\:\left[−\mathrm{6},\mathrm{6}\right]\:{is}\:\left[{a},{b}\right]\:,{a},{b}\in{N},\:{find}\:{a}+{b}\:? \\ $$ Answered by MJS last updated on 09/Apr/18 $$\mathrm{we}\:\mathrm{need}\:\mathrm{the}\:\mathrm{minimum}\:\mathrm{and}…

let-u-0-a-u-1-b-and-u-n-2-1-2-u-n-u-n-1-1-find-u-n-interms-of-n-2-find-lim-n-u-n-if-a-0-

Question Number 32995 by abdo imad last updated on 09/Apr/18 $${let}\:{u}_{\mathrm{0}} ={a}\:,\:{u}_{\mathrm{1}} ={b}\:{and}\:{u}_{{n}+\mathrm{2}} =\frac{\mathrm{1}}{\mathrm{2}}\left({u}_{{n}} \:+{u}_{{n}+\mathrm{1}} \right) \\ $$$$\left.\mathrm{1}\right)\:{find}\:{u}_{{n}} \:{interms}\:{of}\:{n} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{lim}_{{n}\rightarrow\infty} \:{u}_{{n}} \:\:{if}\:{a}=\mathrm{0} \\ $$$$…