Q. 2 - Calculus

Question

Calculating limits: Find each limit by hand.

$\underset{x\to \infty }{\lim }-2x^{-1/2}.$

Step-by-Step Solution

Answer

The value of this limit is 0.

Step 1. Given Information.

Given: $\underset{x\to \infty }{\lim }-2x^{-1/2}.$

Step 2. Calculating the limit using direct substitution.

$$\begin{gathered} Solving, \\ \underset{x\to \infty }{\lim }-2x^{-1/2} = -\frac{2}{{\infty }^{1/2}} =-\frac{2}{\infty } = -0 = 0. \end{gathered}$$