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If f(x) = x^2 - 4, what is the limit of f(x) as x approaches 2?
Practice Questions
Q1
If f(x) = x^2 - 4, what is the limit of f(x) as x approaches 2?
0
2
4
Undefined
Questions & Step-by-Step Solutions
If f(x) = x^2 - 4, what is the limit of f(x) as x approaches 2?
Steps
Concepts
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.
Limits
– Understanding how a function behaves as it approaches a certain point.
Function Evaluation
– Calculating the value of a function at a specific point.
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