alfonxinecaoowt3te alfonxinecaoowt3te
  • 21-02-2019
  • Mathematics
contestada

evaluate the limit of ((1/4 + 1/x)/(4+x)) as x -> -4​

Respuesta :

MrBillDoesMath MrBillDoesMath
  • 21-02-2019

Hello from MrBillDoesMath!

Answer:

-1/16

Discussion:

Rewrite   ((1/4 + 1/x)/(4+x))  as

(1/4 + 1/x)  *  (1/(4+x)) =                 => put num. over common denom,

( (x+4)/4x) *  (1/(4+x)) =                 => cancel (x+4) from num. and denom.

(1/4x)

So as x ->-4, (1/4x) approaches ( 1/ ( 4 * (-4) )   ) = -1/16

Thank you,

MrB

Answer Link

Otras preguntas

State if the two triangles are congruent
How did Great Britain avoid the major political changes other European powers experienced in 1830 and 1848?
The product of two numbers is 48 and one of the numbers is 12 what is the other number A. 48x = 12 B. 12x =48 C. x/12 = 48 D. x/48 =12
Simplify the expression. (1423 – 2x2 + 3x – 7) – (328 + 142 – 10)
2 Complétez. (Complete.) 5. — , le pantalon? -Non, il est trop grand. 6. - Vous faites quelle _? -- Je fais du 38, pour les chemises. 7. - De quelle est la jupe
What was "the New England Way"? A. practices that conformed to orthodox Puritan beliefs B. a call for the separation of the roles of church and state C. prac
Is ( 0,3) a solution to y = ( 1/2 ) x -6 I don’t want bots to answer my question.
I am very much confused..
Selected values of the derivative of the function g are given in the table above. It is known that g(3)=17. What is the approximation for g(3.2) found using the
The difference between 2.5 and 7.5 and the sum of 2.75 and 9.55