(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the values of a and b that make f continuous everywhere. (Enter your answers as fractions.)

2. Relevant equations

3. The attempt at a solution

lim x->2 (x^{2}-4)/(x-2) = 0

lim x->2 4a - 2b +5

lim x->3 9a - 3b +5

lim x->3 12 - a + b

4a - 2b + 5 = 0

4a - 2b = -5

9a - 3b +5 = 12 - a + b

10a - 4b = 7

4a - 2b = -5

a = 2.5b/4

10(2.5b/4) - 4b = 7

6.25b - 4b = 7

2.25b = 7

b = 28/9

I'm obviously missing something because I've been screwing around with this problem for well over an hour already and I haven't been able to solve it. I need to get this done by tomorrow morning so any help is appreciated.

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# Homework Help: Find the values of a and b that make f continuous everywhere

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