Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.)lim x → 2 5x2 + 53x − 2

Question

Evaluate the limit using the appropriate Limit Law(s).

(If an answer does not exist, enter DNE.)

$\lim_{x \to 2} (5x^2 + 53x - 2)$

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Solution

To evaluate the limit of the function as x approaches 2, we can simply substitute 2 into the function because it's a polynomial function and polynomial functions are continuous everywhere.

The function is: 5x^2 + 53x - 2

Substitute x = 2 into the function:

= 5(2)^2 + 53(2) - 2 = 5(4) + 106 - 2 = 20 + 106 - 2 = 124

So, the limit of the function as x approaches 2 is 124.

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