Question

Math help plz

Answer 1

So first you have to find the left and right hand limits as x approaches a, given as 1. So, from the left, the values are LESS than 1. So the equation that corresponds to the piecewise LESS than 1 is the first one. From the right, the values are GREATER than 1, so the equation should be GREATER than 1 or the second one. Get what I mean?

Answer 2

No, you plug in 1 simply to the corresponding equation

Answer 3

i was gonna draw the piecewise funcs

Answer 4

Ah sure

Answer 5

This is what the graph should look like
https://www.desmos.com/calculator/vji9v6sfso
Remember the open and closed circles

Answer 6

You're a bit off and there is no open circle for x^2 to indicate >

Answer 7

icy

Answer 8

Why did you plug in 2 for x^2 ?

Answer 9

they both approach 2 different limits

Answer 10

yes, since it said x>1 so i started with 2

Answer 11

2^2, 3^2, 4^2 and so on

Answer 12

No. Recall that limits work differently from unincluded domains. Limits still consider them. That's why they're called the limit. You would plug in 1, since it's asking you to find the limit of x approaching 1.

Answer 13

They do have different limits and thus the limit of x approaching 1 is DNE, but your right hand limit of 4 is incorrect.

Answer 14

how? it said x>1...oh nvm /.-

Answer 15

k thank you sir. i really appreciated your help

Answer 16

np