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Which of the following functions is not continuous at x = 0?

Practice Questions

Q1
Which of the following functions is not continuous at x = 0?
  1. f(x) = x^3
  2. f(x) = e^x
  3. f(x) = 1/x
  4. f(x) = ln(x)

Questions & Step-by-Step Solutions

Which of the following functions is not continuous at x = 0?
  • Step 1: Understand what continuity means. A function is continuous at a point if you can draw it without lifting your pencil at that point.
  • Step 2: Identify the point we are checking for continuity, which is x = 0 in this case.
  • Step 3: Look at the function f(x) = 1/x. Check if it is defined at x = 0.
  • Step 4: Notice that when you try to substitute x = 0 into the function f(x) = 1/x, you get 1/0, which is undefined.
  • Step 5: Since the function is not defined at x = 0, it cannot be continuous there.
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