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## Homework Statement

f(x) = lim [tex]_{n->\infty}[/tex](x[tex]{n}[/tex])/(1+x[tex]{n}[/tex])

## Homework Equations

Suppose that x=1

## The Attempt at a Solution

Wouldnt f(x) = 1/2? Because 1^n = 1, so the denominator is 2. The solution says that f(x)=1. Why is that?