Math Help - Help!!! (Yes or No Q)

1. Help!!! (Yes or No Q)

Is it No, F is not continuous function of r? help help! well, since i think that there's a space between this fuction...it's no?

i also checked these 2 sites: @ yahoo

Calculus + Continuous Functions? - Yahoo! Answers

Limit continuity concept question? - Yahoo! Answers

can't really decide since it's 50% each. but i'm going for the no since there seems to be a gap! help

2. Originally Posted by miss.strw
Is it No, F is not continuous function of r? help help! well, since i think that there's a space between this fuction...it's no?

i also checked these 2 sites: @ yahoo

Calculus + Continuous Functions? - Yahoo! Answers

Limit continuity concept question? - Yahoo! Answers

can't really decide since it's 50% each. but i'm going for the no since there seems to be a gap! help

Draw the graph. There is no jump (or gap as you call it). It should be quite clear that the two parts of the graph join at r = R. F is continuous.

Note 1: The domain for the first part of the rule is wrong. It should be $0 \leq r < R$.

Note 2: The function is NOT differentiable at r = R.