# How do you find the limits of #lim root(3)t +12t-2t^2 where t = -oo#?

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#lim root(3)t +12t-2t^2 where t -oo #

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To find the limit of the given expression as t approaches negative infinity, we substitute t = -∞ into the expression:

lim root(3)t + 12t - 2t^2, where t = -∞

Substituting t = -∞ into the expression, we get:

lim root(3)(-∞) + 12(-∞) - 2(-∞)^2

Simplifying further:

lim -∞ + (-∞) - 2(-∞)^2

Since we have -∞ in each term, the limit of the expression as t approaches negative infinity is also -∞.

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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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