Answer:
The function 
is continuous at x = 36.
Step-by-step explanation:
We need to follow the following steps:
The function is:
The function is continuous at point x=36 if:
- The function
exists at x=36. - The limit on both sides of 36 exists.
- The value of the function at x=36 is the same as the value of the limit of the function at x = 36.
Therefore:
The value of the function at x = 36 is:
The limit of the is the same at both sides of x=36, that is, the evaluation of the limit for values coming below x = 36, or 33, 34, 35.5, 35.9, 35.99999 is the same that the limit for values coming above x = 36, or 38, 37, 36.5, 36.1, 36.01, 36.001, 36.0001, etc.
For this case:
Since
And
Then, the function is continuous at x = 36.
Answer:
l think the answer is A. 20 sorry lf I am wrong
Answer:
position 1 5 8 12 19 25
term -8 8 20 36 64 88
Step-by-step explanation:
(n - 1) is position ( n ∈ N)
d is the distance between the numbers in the sequence
a1 is the first number in the sequence
we have the fuction: a(n) = a1 + (n - 1)d
see in the table, with position = 1, term = -8 => a1 + d = -8
position = 25, term = 88 => a1 + 25d = 88
=> we have: a1 + d = -8
a1 + 25d = 88
=> a1 = -12
d = 4
=> a(n) = -12 + 4(n - 1)
=> term = 8, position = (8 + 12)/4 = 5
position = 8, term = -12 + 4.8 = 20
term = 36, position = (36 + 12)/4 = 12
position = 19, term = -12 + 4.19 = 64
