[tex]\lim_{x\to 0} x*ctg2x[/tex]решите пж лимит. Created by lepme. algebra-ru

tex]решите пж лимит...

армения20171

Замена бесконечно малых эквивалентными:

$\lim\limits _{x \to 0}\, (x\cdot ctg2x)=\lim\limits _{x \to 0}\frac{x}{tg2x}=\Big [\; tg\alpha \sim \alpha\; ,\; esli\; \alpha \to 0\; ;\; \alpha =2x\to 0\; \Big ]=\\\\=\lim\limits _{x \to 0}\frac{x}{2x}=\frac{1}{2}$

NNNLLL54

Verified answer

Lim(x*ctg2x)
x->0

=lim(x*(cos²x-sin²x)/2sinx*cosx=
=lim(x*(ctgx-tgx)/2=
lim(x*ctgx-x*tgx)/2=
lim(x/tgx-x*tgx)/2=
lim(x-xtg²x)/2tgx

Answers & Comments

Verified answer

pomogite s integralom223402f1e0e3e38cfcea56128347622a 10355

tex reshite pozhalujsta limit2afc7d533fa51adda64f825182bc89e4 35830

tex reshite pozhalujsta limit79ef20c313633436aad01e34302471bf 66014

pomogite reshit integrald7e55485503394f3a4f13d9bc9c98d4f 97043

pomogite reshit integrala6f252c367e813c1915e1a66c5621508 20015

tex]...

pomogite reshit integral53dae0f863d808150a1a5c0868fe6bc3 17973

pomogite reshite integral

tex reshite pozhalujsta limitdc6b0d545d3fb6bcaaad626dedbcf2e2 94443

pomogite reshit integrald2e2791472847753f4eda973a879d2a4 49598

рекомендуемые вопросы

Helpful Links

Helpful Social