How do I solve this limits problem? Please don't just give me the answer; I'd like to know how to actually do this. Thanks in advance.

Each piece of this function is continuous on its respective domain (because all polynomials are continuous functions), meaning

• 2 - x exists for all x < -1

• x exists for all -1 ≤ x < 1

• (x - 1)² exists for all x ≥ 1

So this really just leaves the points where the pieces are split up, i.e. x = -1 and x = 1. At both of these points, the two-sided limit exists as long as the one-side limits from both sides exist and are equal to one another.

At x = -1, as I said in my comment, you have

while

But -1 ≠ 3, so the two-sided limit

does not exist. So a = -1 is one of the points you would list.

At x = 1, we have

while

and again the one-sided limits don't match, so this two-sided limit also does not exist, making a = 1 the other answer.

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all