Math Problem Statement

Nilai dari lim(x → 2)(2x - 8) adalah?

Solution

The problem in the image asks for the value of the limit:

limx2(2x8)\lim_{x \to 2} (2x - 8)

To solve this, we can directly substitute x=2x = 2 into the expression 2x82x - 8:

2(2)8=48=42(2) - 8 = 4 - 8 = -4

Therefore, the value of the limit is 4-4.

The correct answer is D.

Would you like more details or have any other questions?

Here are five follow-up questions:

  1. What is the definition of a limit?
  2. How can you compute limits for more complex functions?
  3. What happens if you substitute into a limit and get an indeterminate form?
  4. Can limits be evaluated at points where the function is undefined?
  5. What are the different types of limits (one-sided, two-sided)?

Tip: For simple linear functions like 2x82x - 8, 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