Math 115 Final Exam Review Questions
with Accurate Answers
Name the 3 possible limits of a sequence - ANSWERSLimit of n as it approaches
positive infinity approaches L or a singular value
Limit of n as it approaches positive infinity is positive or negative infinity.
Limit of n as it approaches positive infinity Does Not Exist or DNE
What is the domain of a sequence?` - ANSWERSThe set of all natural numbers.
What is a convergent sequence? - ANSWERSIf the terms of a sequence approach a
finite value as n increases
What is a divergent sequence? What are the two possible cases of a divergent
sequence? - ANSWERSA divergent sequence is one that does not approach a single
value as n increases.
There are two cases:
1) If the terms of the sequence increase or decrease without bound
2) If the terms of the sequence oscillate and never approach a single value
What is the limit of a constant sequence? - ANSWERSThe term(s) of the sequence.
In what order should transformations of functions be performed? - ANSWERS1)
Horizontal Shifts'
2) Vertical shrink/stretch
3) Reflections
4) Vertical Shifts
Is a constant sequence bounded or unbounded? - ANSWERSSequence is
What is the domain and range of an exponential function? - ANSWERSDomain: All real
numbers; (-∞,∞)
Range: (0, ∞)
Are there any restrictions on the base of an exponential function? If so, what? -
ANSWERSb>0, b!=1. Iike to say that b>1
with Accurate Answers
Name the 3 possible limits of a sequence - ANSWERSLimit of n as it approaches
positive infinity approaches L or a singular value
Limit of n as it approaches positive infinity is positive or negative infinity.
Limit of n as it approaches positive infinity Does Not Exist or DNE
What is the domain of a sequence?` - ANSWERSThe set of all natural numbers.
What is a convergent sequence? - ANSWERSIf the terms of a sequence approach a
finite value as n increases
What is a divergent sequence? What are the two possible cases of a divergent
sequence? - ANSWERSA divergent sequence is one that does not approach a single
value as n increases.
There are two cases:
1) If the terms of the sequence increase or decrease without bound
2) If the terms of the sequence oscillate and never approach a single value
What is the limit of a constant sequence? - ANSWERSThe term(s) of the sequence.
In what order should transformations of functions be performed? - ANSWERS1)
Horizontal Shifts'
2) Vertical shrink/stretch
3) Reflections
4) Vertical Shifts
Is a constant sequence bounded or unbounded? - ANSWERSSequence is
What is the domain and range of an exponential function? - ANSWERSDomain: All real
numbers; (-∞,∞)
Range: (0, ∞)
Are there any restrictions on the base of an exponential function? If so, what? -
ANSWERSb>0, b!=1. Iike to say that b>1
