What is the value of lim (x → -5) (3x + 2)?
Understand the Problem
The question is asking to determine the limit of the function 3x + 2 as x approaches -5.
Answer
-13
Answer for screen readers
The final answer is -13
Steps to Solve
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Substitute x with -5
To find the limit of the function $3x + 2$ as $x$ approaches -5, we substitute $-5$ for $x$ in the function.
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Calculate the expression
Substitute $x = -5$ into the expression:
$$3(-5) + 2$$
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Simplify
Simplify the expression:
$$3(-5) + 2 = -15 + 2 = -13$$
The final answer is -13
More Information
In this problem, finding the limit is straightforward because the function is linear. You can directly substitute the value of $x$ to find the answer.
Tips
A common mistake is to forget about the sign when substituting negative values. Always double-check your substitution to ensure accuracy.
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