Enough work must be shown to justify each of your solutions. Your responses should be yours and yours only. While writing your answers to the questions, discussing your answers among each other, referring to the reading materials or accessing information for the answers using other devices are against academic integrity and against the honor code of the University. Prepare well, using all possible avenues you have, before taking the exam. This is a test to assess your understanding of the concepts involved and proficiency of the procedures to be followed in each case. Respect that and honor it. Determine the monotonicity and bounded ness of each of the following sequences:
a. {aₙ=1/2n+3}
b. {aₙ=cos(πn)}
c. {aₙ=3n/-}
d. {aₙ=3n/n!}
e. {aₙ=n+1/n+3}