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Question-158186

Question Number 158186 by mkam last updated on 31/Oct/21 Answered by puissant last updated on 31/Oct/21 $${sinx}={x}−\frac{{x}^{\mathrm{3}} }{\mathrm{3}!}+\frac{{x}^{\mathrm{5}} }{\mathrm{5}!}−\frac{{x}^{\mathrm{7}} }{\mathrm{7}!}+…… \\ $$$$\Rightarrow\:\frac{{sinx}}{{x}}\:=\:\mathrm{1}−\frac{{x}^{\mathrm{2}} }{\mathrm{3}!}+\frac{{x}^{\mathrm{4}} }{\mathrm{5}!}−\frac{{x}^{\mathrm{6}} }{\mathrm{7}!}+…..…

lim-x-sinx-x-3-2sinx-

Question Number 158175 by mathocean1 last updated on 31/Oct/21 $$\underset{{x}\rightarrow+\infty\:} {{lim}}\frac{{sinx}+{x}}{\mathrm{3}+\mathrm{2}{sinx}}=? \\ $$ Commented by cortano last updated on 01/Nov/21 $$\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\frac{\mathrm{sin}\:{x}+{x}}{\mathrm{3}+\mathrm{2sin}\:{x}}=\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\frac{\frac{\mathrm{sin}\:{x}}{{x}}+\mathrm{1}}{\frac{\mathrm{3}}{{x}}+\frac{\mathrm{2sin}\:{x}}{{x}}} \\ $$$$=\:\frac{\mathrm{0}+\mathrm{1}}{\mathrm{0}+\mathrm{0}}\:=\:\infty…

Question-92635

Question Number 92635 by otchereabdullai@gmail.com last updated on 08/May/20 Commented by mr W last updated on 08/May/20 $$\angle{BFD}=\frac{\:\:\angle{BOD}}{\mathrm{2}}=\frac{\mathrm{120}}{\mathrm{2}}=\mathrm{60}° \\ $$$$\angle{FBC}=\angle{OBC}−\angle{OBG}=\mathrm{90}−\frac{\mathrm{30}}{\mathrm{2}}=\mathrm{75}° \\ $$$$\angle{ODB}=\frac{\mathrm{180}−\mathrm{120}}{\mathrm{2}}=\mathrm{30}° \\ $$$$\angle{BCD}=\mathrm{180}−\mathrm{120}=\mathrm{60}° \\…

Question-27076

Question Number 27076 by amit96 last updated on 01/Jan/18 Commented by prakash jain last updated on 05/Jan/18 $$\mathrm{Can}\:\mathrm{you}\:\mathrm{pleasw}\:\mathrm{type}\:\mathrm{your}\:\mathrm{question}\:\mathrm{or} \\ $$$$\mathrm{post}\:\mathrm{a}\:\mathrm{clearer}\:\mathrm{picture}. \\ $$ Terms of Service…

hello-i-see-a-lot-of-questions-about-special-functions-in-the-forum-so-this-book-is-a-good-book-to-learn-special-functions-for-anyone-want-to-learn-

Question Number 92575 by  M±th+et+s last updated on 08/May/20 $${hello}\: \\ $$$${i}\:{see}\:{a}\:{lot}\:{of}\:{questions}\:{about}\:{special} \\ $$$${functions}\:{in}\:{the}\:{forum}\:{so}\:{this}\:{book} \\ $$$${is}\:{a}\:{good}\:{book}\:{to}\:{learn}\:{special}\:{functions} \\ $$$${for}\:{anyone}\:{want}\:{to}\:{learn} \\ $$ Commented by jagoll last updated…

1-2-3-4-5-x-what-is-x-note-not-6-

Question Number 158088 by Gbenga last updated on 31/Oct/21 $$\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5},\left({x}\right) \\ $$$${what}\:{is}\:{x}\:{note}\:{not}\:\mathrm{6} \\ $$ Commented by MJS_new last updated on 31/Oct/21 $${f}\left({n}\right)=\frac{{x}−\mathrm{6}}{\mathrm{120}}{n}^{\mathrm{5}} −\frac{{x}−\mathrm{6}}{\mathrm{8}}{n}^{\mathrm{4}} +\frac{\mathrm{17}\left({x}−\mathrm{6}\right)}{\mathrm{24}}{n}^{\mathrm{3}} −\frac{\mathrm{15}\left({x}−\mathrm{6}\right)}{\mathrm{8}}{n}^{\mathrm{2}}…