АБ
Алексей Батькович
Помогите решить пределыlim (x->1) cos*((Pi/2)*x)/(1-x)lim (x-> PI/2) (1+cosx)^(2sec x)lim (x->1)
lim (x->1) cos*((Pi/2)*x)/(1-x)
lim (x-> PI/2) (1+cosx)^(2sec x)
lim (x->1) ((tg*(9PI*x)/(sin(4*Pi*x))^ (x/(x+1))
lim (x->1) cos*((Pi/2)*x)/(1-x)
lim (x-> PI/2) (1+cosx)^(2sec x)
lim (x->1) ((tg*(9PI*x)/(sin(4*Pi*x))^ (x/(x+1))
lim (x->1) cos*((Pi/2)*x)/(1-x) = lim (y->0) cos(pi/2(1-y))/y= lim (y->0)sin((pi/2)y)/y=pi/2
lim (x-> PI/2) (1+cosx)^(2sec x) = lim t->~ (1+1/t)^(2t)=e^2
1/cosx=t
x->п/2 t-> ~ (бесконечность)