# How do you differentiate #f(x) = 1 + 1/x + 7/x^2 + 1/x^3#?

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To differentiate the function f(x) = 1 + 1/x + 7/x^2 + 1/x^3, you can apply the power rule and the constant rule. The derivative of the function is f'(x) = -1/x^2 - 14/x^3 - 3/x^4.

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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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