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What value of a makes the function f(x) = { 2x + 1, x < 1; a, x = 1; x^2 + 1, x > 1 continuous at x = 1?

Practice Questions

1 question
Q1
What value of a makes the function f(x) = { 2x + 1, x < 1; a, x = 1; x^2 + 1, x > 1 continuous at x = 1?
  1. 1
  2. 2
  3. 3
  4. 4

Questions & Step-by-step Solutions

1 item
Q
Q: What value of a makes the function f(x) = { 2x + 1, x < 1; a, x = 1; x^2 + 1, x > 1 continuous at x = 1?
Solution: Setting 2(1) + 1 = a and a = 2 for continuity.
Steps: 0

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