For which value of m is the function f(x) = { 3x + m, x < 1; 2, x = 1; mx + 1, x > 1 continuous at x = 1?

Practice Questions

1 question
Q1
For which value of m is the function f(x) = { 3x + m, x < 1; 2, x = 1; mx + 1, x > 1 continuous at x = 1?
  1. -1
  2. 0
  3. 1
  4. 2

Questions & Step-by-step Solutions

1 item
Q
Q: For which value of m is the function f(x) = { 3x + m, x < 1; 2, x = 1; mx + 1, x > 1 continuous at x = 1?
Solution: Setting 3 + m = 2 and 2 = m + 1 gives m = 1 for continuity.
Steps: 0

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