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Homework Help: Continuity (ii)

  1. Dec 13, 2009 #1
    f(x) = { [(e^x) - 1] / x ; if x not equal 0
    ...... .{ b ...................; if x = 0

    What value of b makes f continuous at x = 0?

    so.. the left side and right side must be equal in order to make
    f continuous at x = 0

    [(e^x) - 1] / x = b
    [(e^x) - 1] = (b)(x)
    e^x = (b)(x) + 1
    .
    .
    .
    dont know how to proceed..

    should i introduce ln?
     
  2. jcsd
  3. Dec 13, 2009 #2
    What is the definition of continuity?
     
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