3 янв. 2014 г. · Asymptotic expansions are useful for this kind of limits, and in fact better than L'Hopital (which fails miserably for some limits).

21 мар. 2012 г. · I want to improve my counting limits. I've found some difficult examples: limx→+∞((x+1)1+1x−x1+1x+a) limx→+∞x2(arctanx−π2)+x.

26 мая 2019 г. · Split outlet with GFCI breaker? Is there any type of mechanical engine failure that would inhibit a helicopter from making an autorotation? ... Is ...

25 мая 2020 г. · Hard limit question ... I can't compute limit : limx→0+(tanxx)1x3. I do "de l'Hospital rule" two times and i get worse limit with the same result ...

30 янв. 2017 г. · Finally observe that the given limit can be rewritten as limx→0(πsin(x)−sin(πx)x3)(x2cos(x)−cos(πx))=(π3)(π2−12)(2π2−1)=π3.

11 нояб. 2019 г. · So now Ii don't know how to solve it or does it even exist or not. Can anyone give me at least a hint of how to solve this problem? limits.

18 янв. 2018 г. · If one takes α>11/3, for instance t=4, then the leading term as t→0 is (−1/3)t11/3−α, which diverges in this limit.

11 нояб. 2016 г. · Hint: Let t=1/h and rewrite the limit in terms of t instead of h. After that it is straightforward with L'Hopital.

20 окт. 2016 г. · I have tried to separate it into two limits (one with sine and the other with tangent) and applied L'Hôpital's rule, but even third derivative ...

20 июн. 2018 г. · Will a car seat fit into a standard economy class seat on a plane? On a glassed landmass, how long would it take for plants to grow? What ...