Find all values xequals=a where the function is discontinuous. For each value of​ x, give the limit of the function as x approaches a. Be sure to note when the limit​ doesn't exist.   ​k(x)=2 e (raised to the square root of x-4) wouldn't let insert square root properly        Select the correct choice below​ and, if​ necessary, fill in the answer​ box(es) within your choice. ​(Use a comma to separate answers as​ needed.)   A. f is discontinuous at the two values xequals=nothing. The limits for both values do not exist and are not infinity∞ or negative infinity−∞.   B. f is continuous for all values of x.   C. f is discontinuous at the two values xequals=nothing. The limit for the smaller value is nothing. The limit for the larger value does not exist and is not infinity∞ or negative infinity−∞.   D. f is discontinuous at the two values xequals=nothing. The limit for the smaller value is nothing. The limit for the larger value is nothing.   E. f is discontinuous at the two values xequals=nothing. The limit for the smaller value does not exist and is not infinity∞ or negative infinity−∞. The limit for the larger value is nothing.   F. f is discontinuous over the interval nothing. The limit does not exist and is not infinity∞ or negative infinity−∞. ​(Type your answer in interval​ notation.)   G. f is discontinuous over the interval nothing. The limit is nothing. ​(Type your answer in interval​ notation.)   H. f is discontinuous at the single value xequals=nothing. The limit does not exist and is not infinity∞ or negative infinity−∞.   I. f is discontinuous at the single value xequals=nothing. The limit is nothing.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
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Find all values
xequals=a
where the function is discontinuous. For each value of​ x, give the limit of the function as x approaches a. Be sure to note when the limit​ doesn't exist.
 

​k(x)=2 e (raised to the square root of x-4) wouldn't let insert square root properly 

 
 
 
Select the correct choice below​ and, if​ necessary, fill in the answer​ box(es) within your choice.
​(Use a comma to separate answers as​ needed.)
 
A.
f is discontinuous at the two values
xequals=nothing.
The limits for both values do not exist and are not
infinity∞
or
negative infinity−∞.
 
B.
f is continuous for all values of x.
 
C.
f is discontinuous at the two values
xequals=nothing.
The limit for the smaller value is
nothing.
The limit for the larger value does not exist and is not
infinity∞
or
negative infinity−∞.
 
D.
f is discontinuous at the two values
xequals=nothing.
The limit for the smaller value is
nothing.
The limit for the larger value is
nothing.
 
E.
f is discontinuous at the two values
xequals=nothing.
The limit for the smaller value does not exist and is not
infinity∞
or
negative infinity−∞.
The limit for the larger value is
nothing.
 
F.
f is discontinuous over the interval
nothing.
The limit does not exist and is not
infinity∞
or
negative infinity−∞.
​(Type your answer in interval​ notation.)
 
G.
f is discontinuous over the interval
nothing.
The limit is
nothing.
​(Type your answer in interval​ notation.)
 
H.
f is discontinuous at the single value
xequals=nothing.
The limit does not exist and is not
infinity∞
or
negative infinity−∞.
 
I.
f is discontinuous at the single value
xequals=nothing.
The limit is
nothing.
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