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

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

Options:

Correct Answer: 0

Solution:

As x approaches infinity, (1/x) approaches 0.

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

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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