Question

Please help me! I really want to understand this.
How do you know if certain points are removable or non removable discontinuity without drawing a graph?

Answer 1

well from limit

Answer 2

A discontinuous function may be of three types

Answer 3

I know but how can you tell from a given function. D: sometimes the function cant be graphed quickly ;_; like more complicated rationals..

Answer 4

or maybe i cant do that? ;_;

Answer 5

If the limit exists at a point, the discontinuity is removable.

Answer 6

To check whether a limit exists, plug in points that are close to the point of discontinuity and check if it tends toward some value, or use limit properties to evaluate it.

Answer 7

i still dont really understand because in one of my math problems, one point in it was removable and the other was non removable...

Answer 8

when i tried making the equation work for both of them, the denominator would still be 0...

Answer 9

http://i.imgur.com/Su0Jtqp.jpg

Answer 10

Plug in 2.

Answer 11

(1/2)(2)+1 = 1+1=2
3-(2) = 1

Answer 12

They don't meet, so it's not continuous.