limx→−3(3x2−6x+10)
Solution
To find the limit of the function as x approaches -3, you simply substitute -3 into the function:
lim(x→-3)(3x^2 - 6x + 10)
= 3(-3)^2 - 6(-3) + 10 = 3(9) + 18 + 10 = 27 + 18 + 10 = 55
So, the limit of the function as x approaches -3 is 55.
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