What is \lim_{x\rightarrow1}\{f\circ f(x)\} equal to?
Consider the following for the two (02) items that follow : Let the function f(x)=x^{2}-1.
- A. -1 ✓
- B. 0
- C. 1
- D. 2
Correct Answer: A. -1
Explanation
First, evaluate f(f(x)) = f(x^2-1) = (x^2-1)^2 - 1. Taking the limit as x \to 1, we substitute x=1 to get (1^2-1)^2 - 1 = 0 - 1 = -1.
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