Question

determine the limits of a function f(x) at 2.86

I need to get lim x->2.86+ f(x)

I got the lim x->2.86- f(x)= -23, and f(2.86) = -23.

see attached screenshot for more details. Thanks!

Answer 1

i cant find a function to evaluate

Answer 2

there isn't one, that's why this problem is killing me =/ I plug in values for x and then I'm given an f(x). f(2.86) = -22.996799999999418, f(2.85) = -22.822499999999422, f(2.861) = -19.427009900000435. I'm just not sure what I'm looking for.

Answer 3

are the left and right side limits matching?

Answer 4

or rather, are they merging onto a common number?

Answer 5

No, and the problem states "then this function is almost continuous and could be made continuous by redefining one value of the function namely 2.86"

Answer 6

most likely its a piecewise function that has a jump at f(2.86)

Answer 7

o rnot...

Answer 8

then what would my limit be? I've tried dozens of numbers, and statistically I should have arrived at the answer completely by chance. My limit can't be undefined or infinity either.

Answer 9

plug in for x value like this:

x = 2.859
x = 2.860
x = 2.861

and give me the readings

Answer 10

-22.979342999999417
-22.996799999999418
-19.427009900000435

respectively. Also, anything beyond 5 or -5 becomes undefined, but I think that's pretty far off anyway.

Answer 11

x = 2.8599
x = 2.8600
x = 2.8601

Answer 12

hold on, I just got the answer. It appears that I wasn't rounding correctly. What an annoying problem.

but thanks, I couldn't have done it without you :]

Answer 13

☺ youre welcome