Please help me!

Problem 1: Use the (c, N) definition of limit to give proofs that 3n -n+6 1. limn-+co 63+2n-1 = 2. limn-+co It = 0 Problem 2a: Suppose a sequence of real numbers has the following recursive definition: To = 1 and Enti = 1 + +. Prove that T,, is bounded above by 2 and is increasing; use the Monotone Convergence Theorem to deduce this sequence is convergent and find its limit. Problem 2b: Define a sequence of real numbers recursively as follows: do = 1 and an+1 = 2-V3 - an. Find a1, a2 and a3 to determine if the sequence is monotone increasing or decreasing. Then bound the sequence and use the Monotone Convergence Theorem to infer this sequence is convergent and find it's limit