Ryabushko A.P. IDZ 5.2 option 25

Ryabushko A.P. IDZ 5.2 option 25

DHS - 5.2
№1.25 Prove that the function f (x) = sin (x2 + 5x); φ (x) = x3 - 25x as x → 0 are the infinitesimal of the same order of smallness.
Find №2.25 limits.
№3.25 investigate these functions continuity and build their schedules.
№4.25 investigate these functions continuity at these points. f (x) = (x- 4) / (x + 3); x1 = -3; x2 = -2.

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