Using the Squeeze Theorem In Exercises 97-100, use a graphing utility to graph the given function and the equations y = | x | and y = − | x | in the same viewing window. Using the graphs to observe the Squeeze Theorem visually, find lim x → 0 f ( x ) . f ( x ) = x cos 1 x
Using the Squeeze Theorem In Exercises 97-100, use a graphing utility to graph the given function and the equations y = | x | and y = − | x | in the same viewing window. Using the graphs to observe the Squeeze Theorem visually, find lim x → 0 f ( x ) . f ( x ) = x cos 1 x
Using the Squeeze Theorem In Exercises 97-100, use a graphing utility to graph the given function and the equations
y
=
|
x
|
and
y
=
−
|
x
|
in the same viewing window. Using the graphs to observe the Squeeze Theorem visually, find
lim
x
→
0
f
(
x
)
.
a) Sketch the graph of the function
f (x) = {2x – 3 if x 2
%3D
then evaluate lim f(x),
lim f(x) at a = 2.
X --> a+
X --> a-
b) Find the derivative of the following function
f (x) = 3x5 – 2x4 + 3x2 - 2x + 1
%3D
c) Find the derivative of the following function g (x) = (1+x) e
d) Find the derivative of the following function h (x) = (x + )
%3D
Question
2x+1
Consider the function f(x) =
Determine lim f(x).
x²-x
Sketch a function that has the following properties:
lim f(x) = 2
x-1
f(-1) = -1
lim f(x) DNE
2-0
The domain of f is (-0,3) U (3, 0)
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