Discover the Values of c for which f(x) Exists with Homework Help Limits

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Homework Statement


Use the graph of the function f to identify the values of c for which f(x) exists

http://www.webassign.net/larson/1_02-22.gif


Homework Equations





The Attempt at a Solution



i really have no clue where to start
 
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bump please help :(
 
Can you write down f(x)? How does c come into it?
 
What's the exact wording of the problem? You titled this thread "Homework help limits" but as you have stated the problem, I don't see that limits enter into things. From the graph, f(x) appears to be defined for all x such that -5 <= x <= 5.

If the question is asking about continuity, of which you give no indication, then you need to look at limits a the three points of discontinuity.
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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