객관식
Evaluate the following limit: .
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23. Intro to Derivatives & Area Under the Curve
Limits at Infinity
객관식
Evaluate the following limit: .
A
0
B
2
C
-2
D
6
검증된 단계별 안내1
Step 1: Understand the problem statement. We need to evaluate the limit of the expression \(-\frac{4}{x} + 2\) as \(x\) approaches infinity.
Step 2: Analyze the behavior of each term in the expression as \(x\) approaches infinity. The term \(-\frac{4}{x}\) will approach 0 because the denominator \(x\) becomes very large, making the fraction very small.
Step 3: Consider the constant term \(2\). Since it is a constant, it does not change as \(x\) approaches infinity.
Step 4: Combine the results from steps 2 and 3. As \(x\) approaches infinity, \(-\frac{4}{x}\) approaches 0, and the constant \(2\) remains unchanged.
Step 5: Conclude that the limit of the expression \(-\frac{4}{x} + 2\) as \(x\) approaches infinity is simply the constant term \(2\).
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