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What is the limit of (1/x) as x approaches infinity?
What is the limit of (1/x) as x approaches infinity?
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What is the limit of (1/x) as x approaches infinity?
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As x approaches infinity, (1/x) approaches 0.
Questions & Step-by-step Solutions
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Q: What is the limit of (1/x) as x approaches infinity?
Solution:
As x approaches infinity, (1/x) approaches 0.
Steps: 5
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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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