Option 4 DHS 5.2 Collection of DHS Ryabushko

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Option 4 DHS 5.2 Collection of DHS Ryabushko

EDS - 5.2
№1.4 Prove that the functions f (x) = sin 3x - sin x; φ (x) = 5x as x → 0 are infinitesimal of the same order of smallness.
№2.4 Find the limits.
No. 3.4 Investigate these functions for continuity and build their graphs.
№4.4 Investigate these functions for continuity at the specified points. f (x) = (x - 5) / (x + 3); x1 = -2; x2 = -3;

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