Answer:
Step-by-step explanation:
18y
Answer:
For 
the function f(x) is continuous on 
.
Step-by-step explanation:
We have the following function
For the function f(x) to be continuous on it is sufficient to have continuity at x = 6, we need to ensure that as x approaches 6, the left and right limits match, this means that
,
which holds if and only if
namely if .
Answer:
4
Step-by-step explanation:
lim (x^2 - 4) / (x - 2)
x --> 2
When we plug x =2, we get
(2^2 - 4) / (2 - 2)
= (4 - 4)/(2 - 2)
= 0 /0
Which is undefined.
Now we have to use L'hospital rule. Which says we need to differentiate the numerator and the denominator and apply the limit.
When we differentiate x^2 -4, we get 2x
When we differentiate x -2, we get 1
lim 2x/1
x --> 2
Now apply, the limit x = 2
2(2)/1
= 4/1
= 4
Therefore, limit of this function is 4, when x tends to 2.
Hope you will understand the concept.
Thank you.
3/5 is 60% 3/15 is 20% divide 60% by 20% and you have a 3 hope this helps
