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Category: Relation and Functions

let-u-n-k-1-n-1-k-n-k-n-1-detremine-lim-n-u-n-

Question Number 111769 by mathmax by abdo last updated on 04/Sep/20 $$\mathrm{let}\:\mathrm{u}_{\mathrm{n}} =\sum_{\mathrm{k}=\mathrm{1}} ^{\mathrm{n}} \:\frac{\mathrm{1}}{\:\sqrt{\left(\mathrm{k}+\mathrm{n}\right)\left(\mathrm{k}+\mathrm{n}+\mathrm{1}\right)}} \\ $$$$\mathrm{detremine}\:\mathrm{lim}_{\mathrm{n}\rightarrow+\infty} \mathrm{u}_{\mathrm{n}} \\ $$ Terms of Service Privacy Policy…

f-x-f-x-1-x-2-2x-f-6-33-faind-volue-of-f-50-

Question Number 177146 by mathlove last updated on 01/Oct/22 $${f}\left({x}\right)={f}\left({x}−\mathrm{1}\right)+{x}^{\mathrm{2}} +\mathrm{2}{x} \\ $$$${f}\left(\mathrm{6}\right)=\mathrm{33}\:\:{faind}\:{volue}\:{of}\:\:{f}\left(\mathrm{50}\right)=? \\ $$ Answered by cortano1 last updated on 01/Oct/22 $$\:\mathrm{f}\left(\mathrm{x}\right)−\mathrm{f}\left(\mathrm{x}−\mathrm{1}\right)=\mathrm{x}^{\mathrm{2}} +\mathrm{2x} \\…

determine-whether-or-not-lim-x-0-is-continuous-

Question Number 46060 by samitoh last updated on 20/Oct/18 $${determine}\:{whether}\:{or}\:{not}\:\:\underset{\mathrm{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left[\:\:\:\:\:\right. \\ $$$${is}\:{continuous} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 20/Oct/18 $${a}\:{function}\:{f}\left({x}\right)\:{will}\:{be}\:{continuous}\:{at}\:{x}={a} \\ $$$${when}\:\underset{{x}\rightarrow{a}−}…

If-f-x-ax-2-c-satisfy-4-f-1-1-and-1-f-2-5-then-A-7-f-3-26-B-1-f-3-20-C-4-f-3-15-D-28-3-f-3-35-3-E-8-3-f-3-13-3-

Question Number 111535 by Aina Samuel Temidayo last updated on 04/Sep/20 $$\mathrm{If}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{ax}^{\mathrm{2}} −\mathrm{c}\:\mathrm{satisfy}\:−\mathrm{4}\leqslant\mathrm{f}\left(\mathrm{1}\right)\leqslant−\mathrm{1} \\ $$$$\mathrm{and}\:−\mathrm{1}\leqslant\mathrm{f}\left(\mathrm{2}\right)\leqslant\mathrm{5},\:\mathrm{then} \\ $$$$ \\ $$$$\mathrm{A}.\:\mathrm{7}\leqslant\mathrm{f}\left(\mathrm{3}\right)\leqslant\mathrm{26}\:\mathrm{B}.\:−\mathrm{1}\leqslant\mathrm{f}\left(\mathrm{3}\right)\leqslant\mathrm{20}\:\mathrm{C}. \\ $$$$−\mathrm{4}\leqslant\mathrm{f}\left(\mathrm{3}\right)\leqslant\mathrm{15}\:\mathrm{D}.\:\frac{−\mathrm{28}}{\mathrm{3}}\leqslant\mathrm{f}\left(\mathrm{3}\right)\leqslant\frac{\mathrm{35}}{\mathrm{3}}\:\mathrm{E}. \\ $$$$\frac{\mathrm{8}}{\mathrm{3}}\leqslant\mathrm{f}\left(\mathrm{3}\right)\leqslant\frac{\mathrm{13}}{\mathrm{3}} \\ $$…