MTH 1001 Florida Institute of Technology Limits & Functions Calculus Problems short quiz contains 7 questions in limits through the rate of change check th

MTH 1001 Florida Institute of Technology Limits & Functions Calculus Problems short quiz contains 7 questions in limits through the rate of change check the file attached Name:
CALCULUS 1 QUIZ #1
Find the value of the following
1. (35pt.) Find the limits
−x
lim √
=
x→2
10x − 4 + 5
5(h − 5)−1 + 1
=
h→0
5h
lim
√
2t2 + 5t
=
15t − 1
lim
t→−∞
lim ez =
z→∞
√
lim
2t2 + 5t
=
15t − 1
lim
2×2 − 5
=
(x + 1)3
t→+∞
x→−1−

lim cos
t→3
π(t2 − 9)
t−3

=
2. (10pt.) Give three primary conditions associated with a function being continuous at a point x = a.
(a)
(b)
(c)
3. (15pt.) For what value of k is the function
(
g(x) =
1−3x
,
2+x4
k − x,
x≥0
x
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