analysis   Suppose that (sn) and (tn) are sequences so that sn = tn except for finitely many values of n. Using the definition of limit, explain why if limn → ∞ sn = s, then also limn → ∞ tn = s.

evaluate the limit.

help proof this cuase i just want to double check my work

Part 1 Let {an} be a sequence such that lim la=0. Explain how to find lim a, two ways - using the definition of absolute value and the Squeeze Theorem. 72-00 Part 2 Think of four random integers q, r, s, and t selected from 0 through 9. Let a₁ = 0.qrst, where q, r, s, and t are your numbers. Think of four more random integers u, v, w, and x, and add them to the end of a₁ to create a2 = 0.qrstuvwx. Repeat this process to generate 93, 94, and a5. If this process is continued infinitely many times, then explain whether or not the sequence {an} converges, diverges, or it is impossible to determine.