# How do I determine #lim_(x->0.5^-)(2x-1)/|2x^3-x^2|#, if it exists?

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since x purchase from left

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To determine the limit as x approaches 0.5 from the left of the expression (2x-1)/|2x^3-x^2|, we can evaluate the expression by substituting the value of x into the expression. If the resulting expression is defined and finite, then the limit exists.

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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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