Option 3 idz 5.2 Collection of idz ryabushko

Tasks, etc - 5.2
No. 1.3 Prove that the functions f(x) = arctg2(3x); φ(x) = 4x2 for x → 0 are infinitesimal of the same order of smallness.
#2.3 Find the limits.
3.3 Investigate these functions for continuity and plot their graphs.
No. 4.3 Examine these functions for continuity at the specified points. f(x) = (x+7)/(x-2); x1 = 2; x2 = 3;