Math Problem Statement
Which of the following is not an indeterminate power? Question 2 Select one: 0^0 cross out ∞^0 cross out 0^∞ cross out 1^∞
Solution
The expression that is not an indeterminate form is 1^∞.
Here's a breakdown of each option:
- 0^0: Indeterminate, as it can be argued to be either 0 or 1 depending on the context.
- ∞^0: Indeterminate, because it depends on how the limits approach infinity.
- 0^∞: Indeterminate, since it can lead to different results depending on the function approaching 0 and ∞.
- 1^∞: This evaluates to 1, so it is not indeterminate.
Would you like further explanations on any of these concepts? Here are some related questions:
- Why is considered indeterminate in some contexts?
- How does the concept of limits apply to ?
- Can you provide examples where is used in calculus?
- In what scenarios might be encountered?
- What are other common indeterminate forms in calculus?
Tip: Always consider the context of limits when determining if an expression is indeterminate.
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Math Problem Analysis
Mathematical Concepts
Limits
Indeterminate Forms
Exponential Functions
Formulas
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Theorems
Limits involving indeterminate forms
Suitable Grade Level
Grades 11-12