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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

?

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- Thread starter Torshi
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- #1

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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

none

f(x) = x/x-3

g(x) 3/x-3

?

- #2

SammyS

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Correct use of parentheses is important .## 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)

?

Well, what is lim x

- #3

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Lim x->3+ (x-3)/(x-3) = 1? ≠0

- #4

SammyS

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Therefore, your choices for f(x) and g(x) look good !Lim x->3+ (x-3)/(x-3) = 1? ≠0

- #5

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Therefore, your choices for f(x) and g(x) look good !

Thanks!

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