Technique to solve limits I was making list of limits exercises, I can't use L' hôpital to solve, I have to solve using only the properties of limits. The only techniques that I know are: I. trying to replace x by the number II. divide III. multiply under the terms of the conjugate The following limit is solved by dividing x + 1each term, the explanation is because both polynomials are divisible by x + 1 but how do I know that? I tried to divide the terms for x³ and x² and the answer has always zero, but the result is 3/2
$$\lim\limits_{x\to{-1}} \frac{x^3 + 1}{x^2 + 4x + 3}$$

You know these things by experience. Because when we start solving questions, we start to get the hang of it. Now when you do this example, you divide it by the expression, because you would have done factorising exercises before and you remember them.
