Q. 17 - Calculus

Question

Consider the limit expression

$\underset{x\to \infty }{\lim }\left(-2x^3+x^2-10\right)$

Calculate the limit.

Step-by-Step Solution

Answer

The limit  of the expression is  $\infty .$

Step 1. Given information

The given expression is 

$\underset{x\to \infty }{\lim }\left(-2x^3+x^2-10\right)$

Step 2. Calculation

The evaluated expression is 

$$\begin{gathered} \underset{x\to \infty }{\lim }\left(-2x^3+x^2-10\right) \\ =\underset{x\to \infty }{\lim }\left(-2x^3\right)+\underset{x\to \infty }{\lim }\left(x^2\right)-\underset{x\to \infty }{\lim }\left(10\right) \\ =-2(\infty {)}^3+(\infty {)}^2-10 \\ \infty . \end{gathered}$$