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Mathematics, 11.09.2021 04:20 bay97

Trying to simplify an equation, but it's apparently wrong. So I'm solving a limit problem, where I try to see what happens as a function approaches x = 1. I just need to simplify an equation to solve that, which is what I'm stuck on right now.

The expression is \frac{\sqrt{17-x}-4 }{\sqrt{2-x}-1 }

I first multiply the numerator and denominator by the denominator to get that ugly square root out of there. That gets me to \frac{(\sqrt{17-x}-4) * (\sqrt{2-x}+1) }{2-x-1}

The denominator can be simplified to -x - 1.

I then plug 1 into the equation to find the limit I'm looking for. \frac{(\sqrt{17 - 1} - 4) * (\sqrt{1}+1) }{-1 - 1}

Doing basic math on both the numerator and denominator, I simplify this down to 0 / -2, which is just 0. However, this apparently is the wrong answer. Can anyone see if they can find if I made an error anywhere? Thanks!

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