# Tricky limits

1. Jan 22, 2007

### Rasine

If f and g are continuous functions with f(4)=1 and lim x-> 4 (6fx - gx)= 1 find g(4)

i cam rewrite this as lim x-> 4 (6f) - lim x-> 4 gx =1

so i know that fx is defined at 4 so it has a limit and that by direct substution the limit of fx= 1

so if i replace 1 with the lim of fx i have 1- lim x-> 4 gx=1

and by using direct subustion again i can find g(4) which is the limit of gx

i solve and get 5/4 for the lim of gx which should be g(4) but that is not right

can someone please tell me where i am going wrong?

2. Jan 22, 2007

### neutrino

How did you get 5/4?

3. Jan 22, 2007

### Rasine

n/m i just noticed what i was doing wrong