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Author: Tinku Tara

lim-x-3x-6-3x-2-x-2-

Question Number 125722 by Mammadli last updated on 13/Dec/20 $$\underset{\boldsymbol{{x}}\rightarrow\infty} {\boldsymbol{{lim}}}\left(\frac{\mathrm{3}\boldsymbol{{x}}+\mathrm{6}}{\mathrm{3}\boldsymbol{{x}}+\mathrm{2}}\right)^{\boldsymbol{{x}}+\mathrm{2}} =? \\ $$ Answered by liberty last updated on 13/Dec/20 $${let}\:{us}\:{denote}\:{h}\left({x}\right)=\frac{\mathrm{3}{x}+\mathrm{6}}{\mathrm{3}{x}+\mathrm{2}}\:;\:{r}\left({x}\right)={x}+\mathrm{2} \\ $$$$\:\begin{cases}{\underset{{x}\rightarrow\infty} {\mathrm{lim}}{h}\left({x}\right)=\underset{{x}\rightarrow\infty}…

a-x-a-x-b-solve-for-x-did-i-make-anything-wrong-in-the-following-starpoint-ln-a-ln-x-a-x-b-ln-a-ln-x-a-ln-x-b-ln-a-ln-x-a-ln-x-b-ln-a-ln-x-ln-a-ln-x-ln-b-ln-a-ln-x-

Question Number 191254 by anr0h3 last updated on 21/Apr/23 $$ \\ $$$${a}=\frac{{x}−{a}}{{x}−{b}}\:{solve}\:{for}\:{x} \\ $$$$\mathrm{did}\:\mathrm{i}\:\mathrm{make}\:\mathrm{anything}\:\mathrm{wrong}\:\mathrm{in}\:\mathrm{the}\:\mathrm{following}? \\ $$$$ \\ $$$$\mathrm{starpoint}: \\ $$$${ln}\mid{a}\mid={ln}\mid\frac{{x}−{a}}{{x}−{b}}\mid \\ $$$${ln}\mid{a}\mid={ln}\mid{x}−{a}\mid−{ln}\mid{x}−{b}\mid \\ $$$${ln}\mid{a}\mid={ln}\mid\frac{{x}}{{a}}\mid−{ln}\mid\frac{{x}}{{b}}\mid \\…

solving-u-v-w-with-u-v-w-C-finding-all-possible-solutions-I-tested-this-with-several-values-and-found-no-mistake-please-review-and-comment-I-hope-this-will-help-at-least-some-of-you-

Question Number 60175 by MJS last updated on 18/May/19 $$\mathrm{solving}\:{u}^{{v}} ={w}\:\mathrm{with}\:{u},\:{v},\:{w}\:\in\mathbb{C} \\ $$$$\mathrm{finding}\:\mathrm{all}\:\mathrm{possible}\:\mathrm{solutions} \\ $$$$\mathrm{I}\:\mathrm{tested}\:\mathrm{this}\:\mathrm{with}\:\mathrm{several}\:\mathrm{values}\:\mathrm{and}\:\mathrm{found} \\ $$$$\mathrm{no}\:\mathrm{mistake}.\:\mathrm{please}\:\mathrm{review}\:\mathrm{and}\:\mathrm{comment}. \\ $$$$\mathrm{I}\:\mathrm{hope}\:\mathrm{this}\:\mathrm{will}\:\mathrm{help}\:\mathrm{at}\:\mathrm{least}\:\mathrm{some}\:\mathrm{of}\:\mathrm{you}. \\ $$ Commented by MJS last…

I-cos-2x-1-cos-2-x-dx-please-help-

Question Number 125711 by TITA last updated on 13/Dec/20 $$\:\mathrm{I}=\int\frac{\mathrm{cos}\:\mathrm{2x}}{\mathrm{1}+\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}}\mathrm{dx}\:=?\:\:\mathrm{please}\:\mathrm{help} \\ $$$$ \\ $$ Answered by bramlexs22 last updated on 13/Dec/20 $${let}\:\mathrm{tan}\:\left({x}\right)=\:{t}\:\wedge\:{dt}\:=\:\frac{{dx}}{\mathrm{cos}\:^{\mathrm{2}} {x}} \\…