# How do you evaluate the limit #(2x+4)/(x^2-3x-10)# as x approaches #2#?

Since this function is not indeterminate at x = 2, we can evaluate it by direct substitution.

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To evaluate the limit (2x+4)/(x^2-3x-10) as x approaches 2, we substitute the value of 2 into the expression. This gives us (2(2)+4)/((2)^2-3(2)-10), which simplifies to (4+4)/(4-6-10). Continuing to simplify, we have 8/(-2), which equals -4. Therefore, the limit of (2x+4)/(x^2-3x-10) as x approaches 2 is -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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- For what values of x, if any, does #f(x) = sec((-11pi)/6-7x) # have vertical asymptotes?

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