This is a new different question. Please do not copy others to answer. Thank you.

Let f(n) be an asymptotically positive function. Prove or disprove each of the following conjectures. Hint: You can prove a conjecture using its definition or disprove a conjecture by giving negative examples. (a) f(n)=(f(n)+1). f(n)=(f(n+1)) Let f(n) be an asymptotically positive function. Prove or disprove each of the following conjectures. Hint: You can prove a conjecture using its definition or disprove a conjecture by giving negative examples. (a) f(n)=(f(n)+1). f(n)=(f(n+1))