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If f(x) = x^2 - 4, what is the limit of f(x) as x approaches 2?
If f(x) = x^2 - 4, what is the limit of f(x) as x approaches 2?
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If f(x) = x^2 - 4, what is the limit of f(x) as x approaches 2?
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The limit as x approaches 2 is f(2) = 2^2 - 4 = 0.
Questions & Step-by-step Solutions
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Q
Q: If f(x) = x^2 - 4, what is the limit of f(x) as x approaches 2?
Solution:
The limit as x approaches 2 is f(2) = 2^2 - 4 = 0.
Steps: 6
Show Steps
Step 1: Identify the function f(x) = x^2 - 4.
Step 2: Determine the value we are approaching, which is x = 2.
Step 3: Substitute x = 2 into the function: f(2) = 2^2 - 4.
Step 4: Calculate 2^2, which is 4.
Step 5: Subtract 4 from 4: 4 - 4 = 0.
Step 6: Conclude that the limit of f(x) as x approaches 2 is 0.
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