Ryabushko A.P. IDZ 5.2 option 12

Ryabushko A.P. IDZ 5.2 option 12

DHS - 5.2
№1.12. Prove that the function f (x) = x2 / (5 + x); φ (x) = 4x2 / (x- 1) as x → 0 are the infinitesimal of the same order of smallness.
№2.12 Find limits.
№3.12 investigate these functions continuity and build their schedules.
№4.12 investigate these functions continuity at these points. f (x) = (x + 5) / (x-2); x1 = 3; x2 = 2.

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