# How do you simplify the expression #(1/(t-1)+1/(t+1))/(1/t-1/t^2)#?

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To simplify the expression (1/(t-1)+1/(t+1))/(1/t-1/t^2), we can follow these steps:

- Find a common denominator for the fractions in the numerator: (t-1)(t+1).
- Rewrite the fractions in the numerator with the common denominator: (t+1)/(t-1)(t+1) + (t-1)/(t-1)(t+1).
- Combine the fractions in the numerator: (t+1 + t-1)/(t-1)(t+1).
- Simplify the numerator: (2t)/(t-1)(t+1).
- Invert the denominator and multiply: (2t)*(t^2)/(t-1).
- Simplify the expression: 2t^3/(t-1).

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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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