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

May 17, 2026Mathematics

ScanSolve AI Answer

May 17, 2026

Answer

-1$ into the expression.

Hey Emmanuella, good to see you again.

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

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Quick Answer

Hey Emmanuella, good to see you again. Here are the solutions for the limits problems: Problem (1): _x -1 (3x^3 - 4x^-1 - 5x) Step 1: Substitute x = -1 into the expression.

Asked on May 17, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 17, 2026

Hey Emmanuella, good to see you again. Here are the solutions for the limits problems: Problem (1): _x -1 (3x^3 - 4x^-1 - 5x) Step 1: Substitute x = -1 into the expression. _x -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