Question

Evaluate the limit and justify each step by indicating the appropriate limit law(s).

$\underset{t\to 2}{\lim }(1-3t)$

Short answer

The value of limit of the given function is $-5$.

Step-by-step solution

Step 1. Given information.

The limit of function is given here,

$\underset{t\to 2}{\lim }(1-3t)$

Step 2. Formula used.

Here, we can find the limit by direct substitution because the function is a polynomial.

Step 3. Simplification.

Given, $\underset{x\to 2}{\lim }(1-3t)$

$\begin{array}{c}\underset{t\to 2}{\lim }(1-3t)\\ \lim (1-3t)=1-3\times 2\\ =1-6\\ =-5\end{array}$

Therefore, our final answer is$-5.$