For which values of c will the limit as x → 5 of the piecewise-defined function f(x) = {ln(x+c) for x>5; sqrt(x-4) for x<5 exist?
I have no idea where to start; for the limit to exist at x=5, the function has to approach the same value from both sides, right? But the c is confusing me... please help. Thanks!

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\[\ln(5+c)=\sqrt{5-4} \text{ we want left limit equal to right limit} \]

\[\ln(5+c)=1 \]
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