Given the sequence defined by an+1 =
where a1 = 1. What is the limit of the sequence ? Homework Help ✎
Using the process as described in problem 8-135, estimate the limit.
We can find the limit using algebra by solving the equation L =
. Solve the equation to find the exact value of the limit.
L2 = 1 + L
L2 − L − 1 = 0
Use the quadratic formula!