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lim-x-0-1-tan-x-pi-4-tan-2x-pi-4-tan-pi-4-3x-x-3-




Question Number 154652 by EDWIN88 last updated on 20/Sep/21
 lim_(x→0)  ((1−tan (x+(π/4))tan (2x+(π/4))tan ((π/4)−3x))/x^3 )=?
$$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{1}−\mathrm{tan}\:\left({x}+\frac{\pi}{\mathrm{4}}\right)\mathrm{tan}\:\left(\mathrm{2}{x}+\frac{\pi}{\mathrm{4}}\right)\mathrm{tan}\:\left(\frac{\pi}{\mathrm{4}}−\mathrm{3}{x}\right)}{{x}^{\mathrm{3}} }=? \\ $$
Answered by bramlexs22 last updated on 20/Sep/21
Commented by mnjuly1970 last updated on 22/Sep/21
  answer is 24   equivallance must produce   a power of    3 ...
$$\:\:{answer}\:{is}\:\mathrm{24} \\ $$$$\:{equivallance}\:{must}\:{produce}\: \\ $$$${a}\:{power}\:{of}\:\:\:\:\mathrm{3}\:… \\ $$

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