Answer Happy

Please show all steps
Question 3 (1 points) The first term of a sequence is a₁ = cos(1). The next term is a2 = a₁ or cos(2), whichever is larger, followed by a3 = a2 or cos(3), whichever is larger, and in general, an+1 = max {an, cos(n+1)}. Explain why the sequence converges and to what value it converge or explain why the sequence diverges.