Math Problem Statement
Nilai dari lim(x → 2)(2x - 8) adalah?
Solution
The problem in the image asks for the value of the limit:
To solve this, we can directly substitute into the expression :
Therefore, the value of the limit is .
The correct answer is D.
Would you like more details or have any other questions?
Here are five follow-up questions:
- What is the definition of a limit?
- How can you compute limits for more complex functions?
- What happens if you substitute into a limit and get an indeterminate form?
- Can limits be evaluated at points where the function is undefined?
- What are the different types of limits (one-sided, two-sided)?
Tip: For simple linear functions like , limits can usually be found by direct substitution unless the function behaves differently near the point of interest.
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Math Problem Analysis
Mathematical Concepts
Limits
Linear Functions
Formulas
lim(x → a)(f(x)) = f(a) for continuous functions
Theorems
Limit Substitution Theorem
Suitable Grade Level
Grade 11-12