f:R-->R

f(x)=1 if

f(x)=0 otherwise.

(a) Is f continuous at the point a = 0?

(b) Is f continuous at the point a = 1?

have i done them correctly?

Continuous at a=0 because correct?

also continuous at a=1 because

thanks

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- Apr 12th 2010, 06:47 AMcharikaarfunction continuous at a point
f:R-->R

f(x)=1 if

f(x)=0 otherwise.

(a) Is f continuous at the point a = 0?

(b) Is f continuous at the point a = 1?

have i done them correctly?

Continuous at a=0 because correct?

also continuous at a=1 because

thanks - Apr 12th 2010, 11:09 AMFocus
- Apr 12th 2010, 11:48 AMcharikaar
I see what you mean. The function is not connected at zero and hence the limit in first case doesn't exist so not continuous at a=0

- Apr 12th 2010, 01:44 PMFocus