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Evaluate the limit lim (x -> 0) (sin(5x)/x). Is the function continuous at x = 0?

Practice Questions

1 question
Q1
Evaluate the limit lim (x -> 0) (sin(5x)/x). Is the function continuous at x = 0?
  1. 5, Continuous
  2. 5, Discontinuous
  3. 0, Continuous
  4. 0, Discontinuous

Questions & Step-by-step Solutions

1 item
Q
Q: Evaluate the limit lim (x -> 0) (sin(5x)/x). Is the function continuous at x = 0?
Solution: Using the limit property, lim (x -> 0) (sin(5x)/x) = 5. The function is continuous at x = 0 if defined as f(0) = 5.
Steps: 0

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