Version 19 DHS 5.2 Collection of DHS Ryabushko

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Version 19 DHS 5.2 Collection of DHS Ryabushko

EDS - 5.2
№1.19. Prove that the functions f (x) = arcsin (x2 - x); φ (x) = x3 - x as x → 0 are infinitesimal of the same order of smallness.
№2.19 Find the limits.
№3.19 Investigate these functions for continuity and build their graphs.
№4.19 Investigate these functions for continuity at the specified points. f (x) = 2x / (x2 - 1); x1 = 1; x2 = 2.

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