The value of c for which f(x) = { (eˣ − 1)/x, x ≠ 0; c, x = 0 } is continuous at x = 0 is:
The value of c for which f(x) = { (eˣ − 1)/x, x ≠ 0; c, x = 0 } is continuous at x = 0 is:
- A. 1
- B. 0
- C. e
- D. 1/e
Answer: A) 1
Explanation: lim(x→0) (eˣ − 1)/x = 1. For continuity, c = 1.
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