Question: Problem 1. In each part, give a simplest function f(n) such that the expression is (f(n)). Prove your answers. (Recall that log, In, and lg

Problem 1. In each part, give a simplest function f(n) such

Problem 1. In each part, give a simplest function f(n) such that the expression is (f(n)). Prove your answers. (Recall that log, In, and lg are the logarithms with base 10, e, and 2.) (a) 7n3 lg?n + Vn 16+ n Inn + logn (b) In(n) (c) glogna (d) log2n (7") (e) logn (n!) (f) 1+ (sin(n).cos(n))2n

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