Q. 1 - Calculus

Question

Calculating limits: Find each limit by hand.

$\underset{x\to 0}{\lim }3x^{-4}.$

Step-by-Step Solution

Answer

The value of this limit is $\infty$.

Step 1. Given Information.

Given: $\underset{x\to 0}{\lim }3x^{-4}.$

Step 2. Calculating the limit using direct substitution.

$$\begin{gathered} Solving, \\ \underset{x\to 0}{\lim }3x^{-4} = 3{\times }^{-4} = \frac{3}{0^4} = \frac{3}{0} =\infty . \end{gathered}$$