Math Problem Statement

lim x → − 4

f ( x )

1 , lim x → − 4

g ( x )

10 and lim x → − 4

h ( x )

Solution

It seems your query got cut off. However, based on what you provided, here is an explanation of limits involving the functions f(x)f(x), g(x)g(x), and h(x)h(x).

Given:

  • limx4f(x)=1\lim_{x \to -4} f(x) = 1
  • limx4g(x)=10\lim_{x \to -4} g(x) = 10
  • limx4h(x)\lim_{x \to -4} h(x) is incomplete.

Please provide the full expression for limx4h(x)\lim_{x \to -4} h(x) so that I can assist you further.

Do you want more details or have any questions?

Here are five questions you might explore next:

  1. What happens if limx4h(x)\lim_{x \to -4} h(x) equals a specific value?
  2. How do you find the limit of a sum of functions?
  3. What if limx4h(x)\lim_{x \to -4} h(x) does not exist?
  4. How would these limits change if xx approaches a different value?
  5. What is the significance of limits in determining the behavior of functions?

Tip: When dealing with limits, always check if the function is continuous at the point you're approaching. This can simplify your calculations.

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Math Problem Analysis

Mathematical Concepts

Limits
Continuous Functions

Formulas

-

Theorems

Limit Theorems

Suitable Grade Level

Grades 11-12