1. Math
3. you are given that a sequence xn converges to x...

# Question: you are given that a sequence xn converges to x...

###### Question details

You are given that a sequence (xn) converges to x ∈ R. It is also given that (xn) satisfies the recursive equation

x_n+1 = αx_n + β ∀n ∈ N,

where α, β ∈ R are independent of n and α 6= 1.

Use relevant theorems to find the value of x.