- #1
jog511
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Homework Statement
limx->64 (x^1/3 - 4)/(x - 64)
Homework Equations
The Attempt at a Solution
(64^1/3 -4)/(64 - 64) = 0/0 = not defined
How Do You Solve the Limit of (x^(1/3) - 4)/(x - 64) as x Approaches 64?
- Thread starter jog511
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Homework Help Overview
The discussion revolves around evaluating the limit of the expression (x^(1/3) - 4)/(x - 64) as x approaches 64, which falls under the subject area of calculus, specifically limits and continuity.
Discussion Character
- Exploratory, Assumption checking, Mathematical reasoning
Approaches and Questions Raised
- Participants explore different methods to resolve the indeterminate form 0/0, including taking the derivative and factoring the expression as a difference of cubes. There is also a mention of constraints regarding the algebraic approach required by the problem.
Discussion Status
Some participants have provided hints and suggestions for resolving the limit, while others have expressed constraints related to the problem's requirements. The discussion appears to be productive, with multiple approaches being considered.
Contextual Notes
One participant notes that the problem specifies finding the limit algebraically, which restricts the use of derivatives in the solution process.
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