How do you find the limit of #(1/(1+h)) - 1 / h# as h approaches 0?
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To find the limit of (1/(1+h)) - 1 / h as h approaches 0, we can simplify the expression by finding a common denominator.
First, we multiply the first term, 1/(1+h), by (1-h)/(1-h), and the second term, 1/h, by (1+h)/(1+h).
This gives us ((1-h)/(1+h)) - ((1-h)/h(1+h)).
Next, we combine the two terms over the common denominator, which is h(1+h).
This gives us ((1-h) - (1-h))/(h(1+h)).
Simplifying further, we get 0/h(1+h).
Since the numerator is 0, the limit of the expression as h approaches 0 is 0.
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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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