Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→−2 x2 + 4x + 4x4 − 16
Question
Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→−2 x2 + 4x + 4x4 − 16
Solution
To evaluate the limit of the function as x approaches -2, we simply substitute -2 into the function:
lim x→−2 x² + 4x + 4/x⁴ − 16
= (-2)² + 4(-2) + 4/(-2)⁴ - 16 = 4 - 8 + 4/16 - 16 = -4 + 0.25 - 16 = -19.75
So, the limit of the function as x approaches -2 is -19.75.
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