Math Problem Statement
\lim_{\cdot\rarr3} $$$$ \left(4x-6\right)
Solution
It looks like you're trying to find the limit of the function as approaches a certain value, but the limit expression is incomplete.
Let me fill it in and evaluate the limit properly:
Solution
To find this limit, we can substitute directly into the linear function:
Thus, the value of the limit is:
Would you like me to explain why substitution works in this case, or do you have any other questions?
Related Questions:
- What is the limit of as approaches ?
- How do you find the limit of a quadratic function as approaches a given value?
- What is the limit of as approaches ?
- How do you handle limits when substitution results in an indeterminate form?
- What is the difference between one-sided and two-sided limits?
Tip: Direct substitution in limits works when the function is continuous at the point of interest. If not, more advanced techniques like factoring, conjugation, or L'Hôpital's rule may be needed.
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Math Problem Analysis
Mathematical Concepts
Limits
Linear Functions
Formulas
\lim_{x \to a} f(x) = f(a) for continuous functions
Theorems
Direct Substitution Theorem
Suitable Grade Level
Grades 11-12