Question: What is the value of the limit: lim (x -> ∞) (1/x)?
Options:
0
1
Infinity
Undefined
Correct Answer: 0
Solution:
As x approaches infinity, 1/x approaches 0.
What is the value of the limit: lim (x -> ∞) (1/x)?
Practice Questions
Q1
What is the value of the limit: lim (x -> ∞) (1/x)?
0
1
Infinity
Undefined
Questions & Step-by-Step Solutions
What is the value of the limit: lim (x -> ∞) (1/x)?
Step 1: Understand what 'lim (x -> ∞)' means. It means we are looking at what happens to the expression as x gets larger and larger, approaching infinity.
Step 2: Look at the expression (1/x). As x increases, the value of x becomes very large.
Step 3: When x is very large, 1 divided by a large number (1/x) becomes very small.
Step 4: As x continues to grow towards infinity, 1/x gets closer and closer to 0.
Step 5: Therefore, we conclude that the limit of (1/x) as x approaches infinity is 0.
No concepts available.
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