Very short answer questions

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100 Quiz 1
End of week 1
First Name:
Last Name:
Student-No:
Section:
Grade:
Very short answer questions
1. 2 marks Each part is worth 1 mark. Please write your answers in the boxes.
(a) Find the domain of continuity for the function f (x) = log 4x2 − 1 .
Answer:
√
(b) Compute lim 5x3 + 4.
t→1
Answer:
Short answer questions — you must show your work
2. 4 marks Each part is worth 2 marks.
x2 − 9
x→−3 x + 3
(a) Compute the limit lim
(b) Find all values of c such that the following function is continuous:
2
x + c if x < c
f (x) =
2cx − 2 if x ≥ c
Long answer question — you must show your work
√
3. 4 marks Compute the limit lim
x→1
√
x+2− 4−x
.
x−1
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