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Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→−3 x + 3x3 + 27

Question

Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→−3 x + 3x3 + 27

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Solution

To evaluate the limit of the function as x approaches -3, we simply substitute -3 into the function:

lim x→-3 x + 3x^3 + 27

= (-3) + 3*(-3)^3 + 27 = -3 - 81 + 27 = -57

So, the limit of the function as x approaches -3 is -57.

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