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Lim (2 x + 1)40 (4 x - 1)5
(2 X + 3)45
X-infinity

User RizJa
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1 Answer

4 votes

Final answer:

To evaluate the given expression, we find the limit of each term as x approaches negative infinity. After evaluating each term, we combine the limits to determine the overall limit of the expression, which in this case is negative infinity.

Step-by-step explanation:

The given expression is:



Lim (2x + 1)40 (4x - 1)5 (2x + 3)45 as x → -∞



To evaluate this expression, we need to find the limit of each term as x approaches negative infinity.



First, let's consider the term (2x + 1)40:



As x approaches negative infinity, the term 2x becomes more and more negative, and 1 remains constant. So, (2x + 1)40 approaches (-∞)40 = ∞.



Next, let's consider the term (4x - 1)5:



As x approaches negative infinity, the term 4x becomes more and more negative, and -1 remains constant. So, (4x - 1)5 approaches (-∞)5 = -∞.



Finally, let's consider the term (2x + 3)45:



As x approaches negative infinity, the term 2x becomes more and more negative, and 3 remains constant. So, (2x + 3)45 approaches (-∞)45 = ∞.



Now, let's combine the limits of each term:



Lim (2x + 1)40 (4x - 1)5 (2x + 3)45 as x → -∞ = ∞ x -∞ x ∞ = -∞

User Joel Falcou
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