# How do you find the limit of # (x^5 – 1)/(x – 1) # as x approaches 1?

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To find the limit of (x^5 – 1)/(x – 1) as x approaches 1, we can simplify the expression by factoring the numerator using the difference of squares formula. This gives us (x – 1)(x^4 + x^3 + x^2 + x + 1)/(x – 1). Since (x – 1) appears in both the numerator and denominator, we can cancel it out. This leaves us with the limit of (x^4 + x^3 + x^2 + x + 1) as x approaches 1. Plugging in x = 1 into the expression, we get 5. Therefore, the limit of (x^5 – 1)/(x – 1) as x approaches 1 is 5.

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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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