# How do you evaluate the limit of #lim (-4x^2-3x+6)# as #x->2#?

Hence Proved.

graph{-4x^2 -3x + 6 [1.092, 2.778, -16.412, -15.569]}

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To evaluate the limit of lim (-4x^2-3x+6) as x approaches 2, we substitute the value of 2 into the expression. Thus, the limit is equal to -4(2)^2 - 3(2) + 6, which simplifies to -16 - 6 + 6. Further simplification gives us -16. Therefore, the limit is -16.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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