Can someone help me with these problems?

Question 1:

Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) an = 1 + lim an = n-00Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) an = 2(In(n))2 5n lim an = 7-+ 00Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) an = 2n3 + 1 lim an = 7 -+ 00Determine whether the sequence converges or diverges. If it converges, find the limit. [If an answer does not exist, enter DNE.) en+ e"T e2\" 1 I'dMe BER1 Determine whether the sequence converges or diverges. If it converges, find the limit. [If an answer does not exist, enter DNE.) _ sin5ng 6\" _ 7' + J3 {7}3.' Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the sequence is convergent, guess the value of the limit from the graph and then prove your guess. (If an answer does not exist, enter DNE.) an = 2 + (-2/e)" lim an 7-+ 00