/ sin(x)*sin(x) \ |---------------------------| sin(x)*sin(x) \cos(x)*cos(x)*cos(x)*cos(x)/ f(x) = ------------------------------------ - ----------------------------- cos(x)*cos(x)*cos(x)*cos(x) + 1/1000 1/1000
f = -(sin(x)*sin(x))/((((cos(x)*cos(x))*cos(x))*cos(x)))/1/1000 + (sin(x)*sin(x))/(((cos(x)*cos(x))*cos(x))*cos(x) + 1/1000)
True
/ / sin(x)*sin(x) \\ | |---------------------------|| | sin(x)*sin(x) \cos(x)*cos(x)*cos(x)*cos(x)/| y = lim |------------------------------------ - -----------------------------| x->-oo\cos(x)*cos(x)*cos(x)*cos(x) + 1/1000 1/1000 /
True
/ / sin(x)*sin(x) \\ | |---------------------------|| | sin(x)*sin(x) \cos(x)*cos(x)*cos(x)*cos(x)/| y = lim |------------------------------------ - -----------------------------| x->oo\cos(x)*cos(x)*cos(x)*cos(x) + 1/1000 1/1000 /
True
/ / sin(x)*sin(x) \\ | |---------------------------|| | sin(x)*sin(x) \cos(x)*cos(x)*cos(x)*cos(x)/| |------------------------------------ - -----------------------------| |cos(x)*cos(x)*cos(x)*cos(x) + 1/1000 1/1000 | y = x* lim |--------------------------------------------------------------------| x->-oo\ x /
True
/ / sin(x)*sin(x) \\ | |---------------------------|| | sin(x)*sin(x) \cos(x)*cos(x)*cos(x)*cos(x)/| |------------------------------------ - -----------------------------| |cos(x)*cos(x)*cos(x)*cos(x) + 1/1000 1/1000 | y = x* lim |--------------------------------------------------------------------| x->oo\ x /
/ sin(x)*sin(x) \ |---------------------------| 2 2 sin(x)*sin(x) \cos(x)*cos(x)*cos(x)*cos(x)/ sin (x) 1000*sin (x) ------------------------------------ - ----------------------------- = ------------------------------------ - ------------ cos(x)*cos(x)*cos(x)*cos(x) + 1/1000 1/1000 cos(x)*cos(x)*cos(x)*cos(x) + 1/1000 4 cos (x)
/ sin(x)*sin(x) \ |---------------------------| 2 2 sin(x)*sin(x) \cos(x)*cos(x)*cos(x)*cos(x)/ sin (x) 1000*sin (x) ------------------------------------ - ----------------------------- = - ------------------------------------ + ------------ cos(x)*cos(x)*cos(x)*cos(x) + 1/1000 1/1000 cos(x)*cos(x)*cos(x)*cos(x) + 1/1000 4 cos (x)