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If f(x) = x^2 + 3x + 2, what is the limit as x approaches -1?

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Question: If f(x) = x^2 + 3x + 2, what is the limit as x approaches -1?

Options:

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Correct Answer: 2

Solution: 

lim x→-1 f(x) = (-1)^2 + 3(-1) + 2 = 1 - 3 + 2 = 0.

If f(x) = x^2 + 3x + 2, what is the limit as x approaches -1?

Practice Questions

Q1
If f(x) = x^2 + 3x + 2, what is the limit as x approaches -1?
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  2. 1
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Questions & Step-by-Step Solutions

If f(x) = x^2 + 3x + 2, what is the limit as x approaches -1?
  • Step 1: Identify the function f(x) = x^2 + 3x + 2.
  • Step 2: Determine the value of x that we are approaching, which is -1.
  • Step 3: Substitute -1 into the function: f(-1) = (-1)^2 + 3(-1) + 2.
  • Step 4: Calculate (-1)^2, which equals 1.
  • Step 5: Calculate 3(-1), which equals -3.
  • Step 6: Now combine the results: 1 - 3 + 2.
  • Step 7: First, do 1 - 3, which equals -2.
  • Step 8: Then add 2 to -2, which equals 0.
  • Step 9: Therefore, the limit as x approaches -1 is 0.
  • Limit Evaluation – Understanding how to evaluate the limit of a polynomial function as the variable approaches a specific value.
  • Polynomial Functions – Recognizing that polynomial functions are continuous and can be evaluated directly at the point of interest.
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