3.11 For each of the following pairs of functions, either f(n) is in O(g(n)),f(n) is in (g(n)), or f(n)=(g(n)). For each pair, determine which relationship is correct. Justify your answer, using the method of limits discussed in Section 3.4.5. (a) f(n)=logn2;g(n)=logn+5. (b) f(n)=n;g(n)=logn2. (c) f(n)=log2n;g(n)=logn. (d) f(n)=n;g(n)=log2n. (e) f(n)=nlogn+n;g(n)=logn. (f) f(n)=logn2;g(n)=(logn)2. (g) f(n)=10;g(n)=log10. (h) f(n)=2n;g(n)=10n2. (i) f(n)=2n;g(n)=nlogn. (j) f(n)=2n;g(n)=3n. (k) f(n)=2n;g(n)=nn