# How do you evaluate # (3x^2 - x) /( 7x^2 - 10)# as x approaches infinity?

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As x approaches infinity, the value of (3x^2 - x) / (7x^2 - 10) can be evaluated by dividing the leading terms of the numerator and denominator. In this case, the leading terms are 3x^2 and 7x^2. Dividing these terms gives us 3/7. Therefore, as x approaches infinity, the value of the expression approaches 3/7.

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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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- For what values of x, if any, does #f(x) = tan((3pi)/4-9x) # have vertical asymptotes?
- How do you find the limit of #(1 - cos^2 1) / x# as x approaches 0?

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