Modern College of Business and Science Calculus Limits & Functions Problems NEED IT IN 6 HOURS ……………………………………………………

Modern College of Business and Science Calculus Limits & Functions Problems NEED IT IN 6 HOURS ……………………………………………………………………………………………………………… (10 points)
Question 1
(7 points)
1) Find the following limit:
a) lim
sin 3
→0 −1
b) lim
1
→0 sin
1
−
c) Without using L’Hopital’s rule find
3 +7 2 −14 +6
lim 5 − 4+8 3−8 2+16 −16
→1
2) Find the value of the parameter to make the following limit exist. What is then the
(3 points)
value of the limit?
2
+ − 8
lim
→2 √ 2 + 5 − ( + 1)
Page 1 of 6
(8 points)
Question 2
1) For what values of and ℎ will be continuous.
4 − 2
2−
( ) = {
2 − ℎ + 3
2 − + ℎ
(5 points)

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