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

Find a value for the constant k that will make the function below continuous:

[itex]f(x)=\frac{x-1}{x^2-1}\ \text{if}\ x<=0[/itex]

[itex]f(x)=\frac{tankx}{2x}~\text{if}~x>0[/itex]

2. Relevant equations

3. The attempt at a solution

I've tried the only solution I can think of, which is to make

[itex]\frac{x-1}{x^2-1} = \frac{tankx}{2x}[/itex]

And then I plug in 0 to try and get k, but I end up with 1 = 0/0. I know you are supposed to do something to the second equation to remedy this, but I cannot figure out what. I am fairly new to Calculus, so some help would be greatly appreciated.

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# Find the constant k that will make this piecewise continuous.

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