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What is the limit of (1/x) as x approaches infinity?

Practice Questions

Q1
What is the limit of (1/x) as x approaches infinity?
  1. 0
  2. 1
  3. Infinity
  4. -Infinity

Questions & Step-by-Step Solutions

What is the limit of (1/x) as x approaches infinity?
  • Step 1: Understand what 'x approaches infinity' means. This means that x is getting larger and larger without any limit.
  • Step 2: Look at the expression (1/x). As x gets larger, we are dividing 1 by a bigger and bigger number.
  • Step 3: When you divide 1 by a very large number, the result gets smaller and smaller.
  • Step 4: As x continues to increase towards infinity, (1/x) gets closer and closer to 0.
  • Step 5: Therefore, we can say that the limit of (1/x) as x approaches infinity is 0.
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