2n + 1 1) Use e – N to prove lim n0 5n + 2 2) Show that if an → a then |an →a. Is the converse true? Show that or give an example. An + an+1 + An+2 3) If an is convergent, show that lim lim an. 3 4)...

Hoping to get some help on question #2.

Extracted text: 2n + 1 1) Use e – N to prove lim n0 5n + 2 2) Show that if an → a then |an →a. Is the converse true? Show that or give an example. An + an+1 + An+2 3) If an is convergent, show that lim lim an. 3 4) Prove that the limit of the sequence V2, V2v2, /2/2v2, 2V2/2v2.-. exists, and find it 5 + 2an = 1 and an+1 = An 2 1. Show that an converges, and find its limit. 5) A sequence an is defined by a1 4