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For which value of c is the function f(x) = { x^2, x < 1; c, x = 1; 2x, x > 1 } continuous at x = 1? (2022)

Practice Questions

1 question
Q1
For which value of c is the function f(x) = { x^2, x < 1; c, x = 1; 2x, x > 1 } continuous at x = 1? (2022)
  1. 1
  2. 2
  3. 3
  4. 0

Questions & Step-by-step Solutions

1 item
Q
Q: For which value of c is the function f(x) = { x^2, x < 1; c, x = 1; 2x, x > 1 } continuous at x = 1? (2022)
Solution: To make f(x) continuous at x = 1, we need c = 1^2 = 1. Thus, c must be 1.
Steps: 0

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