29. \( \operatorname{Lim}_{x \rightarrow 1}\left(3 x^{4}+2 x^{2}-1\right)\left(x^{3}-2\right) \) 30. \( \operatorname{Lim}_{x \rightarrow-5}\left(x^{4}-3 x\right)\left(x^{3}+4 x^{2}-1\right) \) 31. \( \operatorname{Lim}_{x \rightarrow-2}\left(3 x^{4}+x^{2}\right)\left(x^{2}+1\right) \) 32. \( \operatorname{Lim}_{x \rightarrow 4}\left(x^{2}+2 x+3\right)(x+1) \)

To tackle these limit problems, you can simply substitute the value of \( x \) into the expression whenever the direct substitution doesn’t lead to an indeterminate form. For example, in problem 29, substituting \( x = 1 \) gives you \( (3(1)^{4} + 2(1)^{2} - 1)(1^{3} - 2) \), which simplifies nicely without any complications. A common pitfall is thinking you can only use algebraic manipulation or L'Hôpital's rule when faced with indeterminate forms like \( 0/0 \). Many limit problems, especially polynomials, can be resolved simply by substitution. If substituting directly leads to an indeterminate form, try factoring or simplifying the expression first. Your limits will often resolve more smoothly than you might expect!