Question: 1.State the definition of an algorithm and define specific attributes that must be possessed by an algorithm Mathematically prove or disprove: loge x log, x

1.State the definition of an algorithm and define specific attributes that must be possessed by an algorithm

1.State the definition of an algorithm and define specific attributes that must be possessed by an algorithm Mathematically prove or disprove: loge x log,

Mathematically prove or disprove: loge x log, x (5 pts) Prove that (n 1)2 E O(n?) by giving the smallest value of no and corresponding constant c in the definition of O notation. (5 pts) What, if anything, is wrong with the following statement? (5 pts) we have kn 3OCn) O(n2) Since n O(n), 2n O(n) Which of the following are true and which are false? If true, provide the smallest value of no and corresponding constants c1 and c2 satisfying the definition of O- notation (5 pts) b. n log10 n e e (n log2 n) (5 pts) c. log2 n 112 E (log2 n) (5 pts)

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