Find the limits of the following functions as x approaches -1: a) _x -1 (3x3 - 4x⁻¹ - 5x)

Here are the solutions for the limits problems:

Problem (1): $\lim_{x \to -1} (3x^3 - 4x^{-1} - 5x)$

Step 1: Substitute $x = -1$ into the expression.

$$\lim_{x \to -1} (3x^3 - 4x^{-1} - 5x) = 3(-1)^3 - 4(-1)^{-1} - 5(-1)$$

Step 2: Simplify the expression.

$$= 3(-1) - 4(-1) - (-5)$$ $$= -3 + 4 + 5$$ $$$$