Find a pair of functions such that the following are true

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  • #1
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Homework Statement



Find a pair of functions f(x), g(x) such that the following are true

lim x->3+ f(x) = +∞
lim x->3+ g(x) = +∞
lim x->3+ (f(x)-g(x)) ≠0

Homework Equations



none

The Attempt at a Solution


f(x) = x/x-3
g(x) 3/x-3
?
 

Answers and Replies

  • #2
SammyS
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Homework Statement



Find a pair of functions f(x), g(x) such that the following are true

lim x->3+ f(x) = +∞
lim x->3+ g(x) = +∞
lim x->3+ (f(x)-g(x)) ≠0

Homework Equations



none

The Attempt at a Solution


f(x) = x/(x-3)
g(x) 3/(x-3)
?
Correct use of parentheses is important .

Well, what is lim x→3+ (f(x)-g(x)) for those functions?
 
  • #3
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Lim x->3+ (x-3)/(x-3) = 1? ≠0
 
  • #4
SammyS
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Lim x->3+ (x-3)/(x-3) = 1? ≠0
Therefore, your choices for f(x) and g(x) look good !
 
  • #5
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Therefore, your choices for f(x) and g(x) look good !

Thanks!
 

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