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In the equation r = 4/(2 + k), k represents a positive integer. As k gets larger without bound, the value of r:
F. gets closer and closer to 4.
G. gets closer and closer to 2.
H. gets closer and closer to 0.
J. remains constant.
K. gets larger and larger
Answer is H.
As k gets larger and larger without bound, the expression 4/(2+k) becomes 4 divided by an increasingly large number. For example, think about the trend between the following fractions:
Looking at it this way, you can see that the expression for r gets closer and closer to zero.