![subject](/tpl/images/cats/mat.png)
Mathematics, 23.02.2021 08:40 gbrightwell
Use continuity to evaluate the limit.
lim
xβ9 16+βx/β16+x
Consider the intervals for which the numerator and the denominator are continuous.
The numerator 16+βx
is continuous on the interval Correct The denominator β16+x is continuous and nonzero on the interval
The interval for which the quotient is continuous is the intersection of the above intervals. Therefore, the quotient 16+βx/β16+x is continuous on the interval
Since x=9 is in the interval [0,β) , then f is continuous at x=9 . Therefore, limxβ9
16+βx/β16+x=f(9)=
![ansver](/tpl/images/cats/User.png)
Answers: 2
Another question on Mathematics
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 14:40
What is the celsius temperature that is equal to 94 degrees fahrenheit using the formula f=9/5 c+32
Answers: 2
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 22.06.2019 01:00
Find the unit rate. enter your answer as a mixed number. a fertilizer covers 2/3 square foot in 1/2 hour.
Answers: 2
![question](/tpl/images/cats/mat.png)
You know the right answer?
Use continuity to evaluate the limit.
lim
xβ9 16+βx/β16+x
Consider the intervals for...
xβ9 16+βx/β16+x
Consider the intervals for...
Questions
![question](/tpl/images/cats/User.png)
![question](/tpl/images/cats/pravo.png)
![question](/tpl/images/cats/en.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/biologiya.png)
![question](/tpl/images/cats/obshestvoznanie.png)
![question](/tpl/images/cats/himiya.png)
![question](/tpl/images/cats/ap.png)
Advanced Placement (AP), 12.02.2020 18:46
![question](/tpl/images/cats/obshestvoznanie.png)
![question](/tpl/images/cats/istoriya.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 12.02.2020 18:46
![question](/tpl/images/cats/en.png)
English, 12.02.2020 18:46
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/en.png)
![question](/tpl/images/cats/biologiya.png)
![question](/tpl/images/cats/obshestvoznanie.png)
Social Studies, 12.02.2020 18:47
![question](/tpl/images/cats/istoriya.png)
![question](/tpl/images/cats/en.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 12.02.2020 18:47