Question

e {𝑎𝑛 }𝑛=1 ∞ is defined by 𝑎𝑛 = 2𝑛−3 3𝑛+4 for 𝑛 ∈ ℕ Prove that {𝑎𝑛 }𝑛=1 ∞ is a bounded sequence. iii) Find lim𝑛→∞ 𝑎�