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 → 2 5x2 + 53x − 2
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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