Ryabushko A.P. IDZ 5.2 option 22

Ryabushko A.P. IDZ 5.2 option 22

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

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