NDA 2025 · PYQ · Composition of functions / Limits · easy
Let the function f(x) = x² − 1. What is lim(x→1) {f ∘ f(x)} equal to?
Answer
The correct answer is A: −1. f(f(x)) = f(x² − 1) = (x² − 1)² − 1. At x = 1: (1 − 1)² − 1 = 0 − 1 = −1.
- A.−1✓ Correct
- B.0
- C.1
- D.2
f(f(x)) = f(x² − 1) = (x² − 1)² − 1. At x = 1: (1 − 1)² − 1 = 0 − 1 = −1. So the limit is −1.
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