Menu Close

Category: None

Let-S-n-x-r-1-n-sin-2r-3-2-r-1-x-cos-10r-1-2-r-1-x-sin-6r-1-2-r-1-x-cos-2r-5-2-r-1-x-2-r-1-sin-r2-3-r-x-sin-2-2-r-x-then-find-the-value-of-lim-

Question Number 225303 by fantastic last updated on 20/Oct/25 $${Let} \\ $$$${S}_{{n}} \left({x}\right)=\underset{{r}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\mathrm{sin}\:\left(\left(\mathrm{2}{r}−\mathrm{3}\right)\mathrm{2}^{−\left({r}+\mathrm{1}\right)} {x}\right)\mathrm{cos}\:\left(\left(\mathrm{10}{r}+\mathrm{1}\right)\mathrm{2}^{−\left({r}+\mathrm{1}\right)} {x}\right)−\mathrm{sin}\left(\:\left(\mathrm{6}{r}−\mathrm{1}\right)\mathrm{2}^{−\left({r}+\mathrm{1}\right)} {x}\right)\mathrm{cos}\:\left(\left(\mathrm{2}{r}+\mathrm{5}\right)\mathrm{2}^{−\left({r}+\mathrm{1}\right)} {x}\right)}{\mathrm{2}^{{r}−\mathrm{1}} \left(\mathrm{sin}\:\left({r}\mathrm{2}^{\mathrm{3}−{r}} −{x}\right)\mathrm{sin}\:\left(\mathrm{2}^{\mathrm{2}−{r}} −{x}\right)\right)} \\ $$$${then}\:{find}\:{the}\:{value}\:{of} \\…

We-have-integrated-artificial-intelligence-images-are-checked-during-upload-and-will-be-rejected-if-not-related-to-science-daily-processing-of-other-posts-A-few-senior-users-are-exempted-fr

Question Number 225299 by Tinku Tara last updated on 20/Oct/25 $$\mathrm{We}\:\mathrm{have}\:\mathrm{integrated}\:\mathrm{artificial} \\ $$$$\mathrm{intelligence}: \\ $$$$-\:\mathrm{images}\:\mathrm{are}\:\mathrm{checked}\:\mathrm{during}\:\mathrm{upload} \\ $$$$\:\:\:\mathrm{and}\:\mathrm{will}\:\mathrm{be}\:\mathrm{rejected}\:\mathrm{if}\:\mathrm{not}\:\mathrm{related} \\ $$$$\:\:\:\mathrm{to}\:\mathrm{science} \\ $$$$-\:\mathrm{daily}\:\mathrm{processing}\:\mathrm{of}\:\mathrm{other}\:\mathrm{posts} \\ $$$$\mathrm{A}\:\mathrm{few}\:\mathrm{senior}\:\mathrm{users}\:\mathrm{are}\:\mathrm{exempted}\:\mathrm{from} \\ $$$$\mathrm{these}\:\mathrm{checks}.…

Question-225146

Question Number 225146 by fantastic last updated on 17/Oct/25 Commented by fantastic last updated on 17/Oct/25 $${maybe}\:{it}\:{is}\:{an}\:{easy}\:{question} \\ $$$${but}\:{i}\:{feel}\:{very}\:{happy} \\ $$$${by}\:{solving}\:{this}\:{i}\:.{e}\:{irodov} \\ $$$${q}\:{by}\:{myself} \\ $$…