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Evaluate the limit lim (x -> 0) (sin(5x)/x) and determine its continuity.

Practice Questions

1 question
Q1
Evaluate the limit lim (x -> 0) (sin(5x)/x) and determine its continuity.
  1. 5, Continuous
  2. 0, Continuous
  3. 5, Not Continuous
  4. 0, Not Continuous

Questions & Step-by-step Solutions

1 item
Q
Q: Evaluate the limit lim (x -> 0) (sin(5x)/x) and determine its continuity.
Solution: Using the limit property, lim (x -> 0) (sin(5x)/x) = 5. The function is continuous at x = 0.
Steps: 0

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