JianO734286 JianO734286
  • 03-11-2022
  • Mathematics
contestada

Find the value of k that makes f(x) continuous at x = 3

Find the value of k that makes fx continuous at x 3 class=

Respuesta :

AryanaS753472 AryanaS753472
  • 03-11-2022

Given:

The function is,

[tex]f(x)=f(x)=\begin{cases}\frac{x-3}{x^2+2x-15},x\ne3 \\ k,x=3\end{cases}[/tex]

As the given function is continous at x= 3 ,

[tex]\begin{gathered} \lim _{x\to3}f(x)=k \\ \lim _{x\to3}(\frac{x-3}{x^2+2x-15})=k \end{gathered}[/tex]

Answer Link

Otras preguntas

Why was the early West considered a "crossroads of culture"? Mexico originally owned the land, so the cultures of Americans, Mexicans, and Native Americans wer
What's the answer to -7=c-6
Compare and contrast the organic and inorganic components of soil.
THIS IS A REAL QUESTION. You're in a relationship and your significant other leaves you, You and your significant other get back together and then you leave you
When you are evaluating your material for an informative speech, you should be particularly careful to make sure the material is not _____. biased ethical speci
what is the x- intercept of -2x+5y=-10?
Define equation. Give an example of two equivalent equations.
Jen and sarah go to lunch at the green grill their meals total $28 for taxes 6% what is the total cost including tax
. Where on earth can ecological relationships be found? A. only where there is high diversity (many species) B. any place where there are living organisms C.
Please help with this