Multiple-Choice Questions

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1. Which one of the followings is the value of ?
a) 0
b) -3
c) 3
d) The limit does not exist.
2. Which one of the followings is the value of ?
a) 2/3
b) 3/2
c) -1
d) 1
3. Which one of the followings is the value of ?
a) 1
b) -1
c) 2
d) -2
4. In the following graphs, which one is the graph of a function whose limit at x=a exists ?

a) (I) and (II)
b) (I) and (III)
c) (II) and (III)
d) (III) and (IV)
5. Let . Which one of the following statements about f is true?
a) If x is a real number such that 0<|x-1|<1/2, then |f(x)-5|<1/2.
b) If x is a real number such that |x-1|<1/3, then |f(x)-5|<1/3.
c) If x is a real number such that |x-1|<1/4, then |f(x)-4|<1/4.
d) If x is a real number such that 0<|x-1|<1/5, then |f(x)-4|<1/4.

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