1)

A) Find k>0 and m element of N so that 7n^3 + 13n <= kn^3 for all integers n >= m.... take k = 7.0052 and find the corresponding value of m

B) find k > 0 and m element of N so that n^3 - 3n >= kn^3 for all integers

n >= m

2) Find an example of each of the following

A) A convergent sequence of rational numbers having an irrational limit

B) A convergent sequence of irrational numberse having a rational limit.