Question

For what values of a and b is the following parametric function continuous?
http://screencast.com/t/ydAe0nVzELd

Answer 1

@hartnn

Answer 2

I have the solution, but i don't get it... Do you want me to post the solution?

Answer 3

http://screencast.com/t/C8XAD3vk1O

Answer 4

which part u didn't get ?
for limit to be continuous, u need to have lim x->0- ... = lim x->0+ ..

Answer 5

why at 0?

Answer 6

because the point of dis-continuity can be 0 only... as the function behaves differently (different definition) before and after 0

Answer 7

because of the domain restrictions?

Answer 8

u can say that, but mostly its because of t<=0 ..... t> 0
if it were
t<=2..... t>2, then u would have checked at x=2

Answer 9

*t=2

Answer 10

okay... how does a=b?

Answer 11

because , for continuity , lim x->0- needs to be equal to x->0+
and lim x->0- was 1
so, x-> 0+ = a/b = 1

Answer 12

ohhhhh..

Answer 13

thank you again!

Answer 14

welcome ^_^