How do you find the limit #(2+1/x)/(3-2/x)# as #x->0#?
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To find the limit of (2+1/x)/(3-2/x) as x approaches 0, we can simplify the expression by multiplying both the numerator and denominator by x. This gives us (2x + 1)/(3x - 2).
Now, as x approaches 0, we substitute 0 into the expression, which gives us (2(0) + 1)/(3(0) - 2). Simplifying further, we have 1/(-2), which is equal to -1/2.
Therefore, the limit of (2+1/x)/(3-2/x) as x approaches 0 is -1/2.
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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.
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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