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

Let the function f: [1,infinity)-->R

[tex]

f(x)=\left\{ \begin{array}{rcl}

\frac{(\sqrt{x}-1+x\sqrt{x-1}}{\sqrt{x^2-1}} & \mbox{,}

& x>1 \\

c, x=1

\end{array}\right.[/tex]

Find the EXACT value of c for which f is continuous on its domain.

2. Relevant equations

N/A

3. The attempt at a solution

I have sketched the graph on the computer and the first half (x greater than 1) part seems to be a single curve going to infinity on the right. I am not quite sure how to find c.

Thanks in advance,

Charismaztex

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# Homework Help: Find the exact value of c for which f is continuous on its domain

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