Ryabushko A.P. IDZ 5.2 option 19

Ryabushko A.P. IDZ 5.2 option 19

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

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