belicoloVgaby belicoloVgaby
  • 21-11-2016
  • Mathematics
contestada

find a value of the constant k such that the limit exists:
lim (x^2+4x+k)/(x+2) as x goes to -2 ...?

Respuesta :

alsteva alsteva
  • 22-11-2016
[tex] \lim_{x \to -2} \frac{x^2+4x+k}{x+2} [/tex]

We should eliminate (x+2) in the denominator.

[tex]\lim_{x \to -2} \frac{x^2+4x+k}{x+2} \\ \\ \lim_{x \to -2} \frac{x^2+4x+4}{x+2} \\ \\ \lim_{x \to -2} \frac{(x+2)^2}{x+2} \\ \\ \lim_{x \to -2} {(x+2)}=-2+2=0[/tex]

Therefore, k = 4.
Answer Link

Otras preguntas

What economic policy was designed to create a better network of transportation? PLZZ HELP ASAP NEED THIS FOR A STUDY GUIDE
Determine the value of the expression 2(x - 3) when x = 2.
How u do this djiejejeoeowoekrkk
will / a letter / not / next week / send / you / she *
I need help pleaseeee
which element has the highest monetary value? A) gold B) Silver C) nickel D) lead​
Look at the underlined sentence. What does this detail help you understand about the main idea? It is an example of a way that Lily asked for help. It is an exa
½x - 5 = -6 Which solution makes this equation true? 1. -12 2. -2
giving brainiest Why is building muscle harder than maintaining muscle? it takes more work because you have to make you body think it needs to make the muscle
PLSSS HELP ME OUTTT!!​