Option 24 DHS 5.2

Option 24 DHS 5.2

EDS - 5.2
№1.24 Prove that the functions f (x) = x2 / (7 + x); φ (x) = 3x2 - x2 as x → 0 are infinitesimal of the same order of smallness.
№2.24 Find the limits.
№3.24 Investigate these functions for continuity and build their graphs.
№4.24 Investigate these functions for continuity at the specified points. f (x) = (x - 4) / (x + 2); x1 = -2; x2 = -1.