Option 12 DHS 5.2 Collection of DHS Ryabushko

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Option 12 DHS 5.2 Collection of DHS Ryabushko

EDS - 5.2
№1.12. Prove that the functions f (x) = x2 / (5 + x); φ (x) = 4x2 / (x– 1) as x → 0 are infinitely small of one order of smallness.
№2.12 Find the limits.
№3.12 Investigate these functions for continuity and build their graphs.
№4.12 Investigate these functions for continuity at the specified points. f (x) = (x + 5) / (x – 2); x1 = 3; x2 = 2.

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