determine the infinite limit of lim x+2/x+3 x->-3+

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determine the infinite limit of lim x+2/x+3 x->-3+

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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This limit is negative infinity. Because we're evaluating the limit as x approaches -3 from the right, we know that we're dealing with values of x > -3. If x > -3, then x + 3 > 0. The expression in the denominator will approach a very small, positive number as x approaches -3 from the right. The numerator will be approaching the constant value of -1. Think about what happens when we divide a negative constant by a very small positive number. First of all, we know the answer will be negative, because we're dividing a negative and a positive. But second of all, it will be a very large and negative number, because -1 divided by (let's say, for example) 0.0001 is -10,000. As x gets closer and closer to -3 from the right, the value of this expression will be getting larger and larger in the negative direction, without bound. Therefore, the limit is negative infinity.

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