Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Consider the following limit.
lim (3x + 2)
x→2
Find the limit L.

Sagot :

Answer: L = 8

Step-by-step explanation:

[tex]{\lim \atop {x \to 2}} \, 3x+2[/tex] asks us what value does the graph of 3x+2 approach as the value of x approaches 2. Since there are no holes or gaps in the graph of 3x + 2, we can plug in x into the expression without having to do any fancy calculus:

[tex]{\lim \atop {x \to 2}} \, 3x+2\\=3(2) + 2\\= 6 + 2\\= 8[/tex]

The limit evaluates to 8.