Option 25 DHS 5.2

Option 25 DHS 5.2

EDS - 5.2
№1.25 Prove that the functions f (x) = sin (x2 + 5x); φ (x) = x3 - 25x as x → 0 are infinitesimal of the same order of smallness.
№2.25 Find the limits.
№3.25 Investigate these functions for continuity and build their graphs.
№4.25 Investigate these functions for continuity at the specified points. f (x) = (x- 4) / (x + 3); x1 = -3; x2 = -2.