Estimating limits graphically and numerically Use a graph of f to estimate lim x → a f ( x ) or to show that the limit does not exist. Evaluate f(x) near x = a to support your conjecture. 28. f ( x ) = e 2 x − 2 x − 1 x 2 ; a = 0
Estimating limits graphically and numerically Use a graph of f to estimate lim x → a f ( x ) or to show that the limit does not exist. Evaluate f(x) near x = a to support your conjecture. 28. f ( x ) = e 2 x − 2 x − 1 x 2 ; a = 0
Estimating limits graphically and numerically Use a graph of f to estimate
lim
x
→
a
f
(
x
)
or to show that the limit does not exist. Evaluate f(x) near
x
=
a
to support your conjecture.
Use a table of values to evaluate the limits of the given function
and radical)
What I Know
Multiple Choice.
Directions: Encircle the letter of the correct answer.
1. Which mathematical expression corresponds to the statement "the limits of the
function x2 + 2 as x approaches to 3 is equal to 11"?
C. lim (x2 + 2) = 11
x →3
А.
lim (x2 + 2) = 11
D. lim (x² – 2) = 11
x -3
X--3
В.
lim (x2-2) = -11
x--3
2. Which function becomes undefined?
f(x) = 0
C. f(x) = L
D. f(x) = ; b= 0
А.
В.
X = c
3. What is the value of
m(x² - 3x +4)?
А.
С. 2
В.
D. 1
4. Which of the following denotes the definition of limit of a function?
А.
lim f(x) = L
C. x approaches c as L
В.
f(x) approaches L
D. lim f (x) = x
5. Graphing the limit of the f(x) =
1
%3D
as x approaches to zero, which statement is
correct?
A. The limit of the function is equal to zero.
B. The limit of the function does not exist.
Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.)
-4.
2
4
lim f(x)
x-2
(a)
lim f(x)
(b)
x- 2*
(c)
lim f(x)
x- 2
(d)
f(2)
(e)
lim f(x)
x-4
(f)
(4)
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