Option 22 DHS 5.2 Collection of DHS Ryabushko

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Option 22 DHS 5.2 Collection of DHS Ryabushko

EDS - 5.2
№1.22 Prove that the functions f (x) = sin (x2 - 2x); φ (x) = x4 - 8x as x → 0 are infinitesimal of the same order of smallness.
№2.22 Find the limits.
№3.22 Investigate these functions for continuity and build their graphs.
№4.22 Investigate these functions for continuity at the specified points. f (x) = ....; x1 = -1; x2 = 0.

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