evaluate limit

B

bcddd214

Junior Member
Joined
May 16, 2011
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102
mainly I don't understand the questions.. :(
f(x)={((x^3-x^2)/x^2, if x=0
piecewise{ -1, if x=0

a.
f(0) is defined
b.
lim?(x?0)?f(x) exist?
c.
f is continuous at 0?
 
The first x = 0 should be x <> 0.

Since it is defined quite deliberately at x = 0, this answers part a.

Since, for x <> 0 (x^3 - x^2)/(x^2) = (x-1), it is not difficult to determine the limit. This answers part b.

You tell me about part c.
 
tkhunny said:
The first x = 0 should be x <> 0.

Since it is defined quite deliberately at x = 0, this answers part a.

Since, for x <> 0 (x^3 - x^2)/(x^2) = (x-1), it is not difficult to determine the limit. This answers part b.

You tell me about part c.
Click to expand...

You lost me here my friend.
 
Excellent. Then you are none the worse. You will need more prerequisites. You are very clearly not ready for this material.
 
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