CHEM 115
Practice Exam #4
CHOOSE THE ONE BEST ANSWER
+3
1. What is the electron configuration of Os ?
2
6
A) [Xe] 6s 5d
2
14
6
B) [Xe] 6s 4f 5d
2
3
C) [Xe] 6s 5d
14
5
D) [Xe] 4f 5d
2
11
6
E) [Xe] 6s 4f 5d
2. Based on conclusions from application of the VS
Application of the intermediate value property of continuous functions
Intermediate Value Property:
If a function f (x) is continuous on a closed interval [a, b], and if K is a number between
f (a) and f (b), then there must be a point c in the interval [
Compute a limit by using the basic trigonometric limit
The basic trigonometric limit
sin
= 1.
0
Using the basic limit, we can also have another form of the basic limit.
lim
lim
0
1
1
1
=
= = 1.
sin
sin
1
lim
0
1 cos x
.
x2
Solution: The key idea is t
Compute limits: using the Squeeze Law
The Squeeze Law Suppose that f (x) g(x) h(x) for all x 6= a in some neighborhood of a and laws that
lim f (x) = L = lim h(x).
xa
xa
Then
lim g(x) = L.
xa
1
.
x2
Solution: To apply the Squeeze Law, we view a = 0 and
1
Check continuity of functions and determine discontinuities
Facts:
(1) A function f (x) is continuous at a point a if a is in the domain of f (x) (that is, f (a)
exists as a number) and if limxa f (x) = f (a). If f (x) is continuous at every point of an
i
Compute side limits (infinite limits)
When the journey of x in its way x a is restricted to x > a (respectively, x < a),
then the corresponding limit of f (x) is a left side limit (respectively, right side right).
The left side limit and right side limit