SOLUTION: Determine the limit if it exists. lim (2-∛x)/(8-x) x -> 8

Algebra ->  Test -> SOLUTION: Determine the limit if it exists. lim (2-∛x)/(8-x) x -> 8      Log On


   

Question 1165750: Determine the limit if it exists.
lim (2-∛x)/(8-x)
x -> 8
Found 2 solutions by greenestamps, Edwin McCravy:
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


2-∛x / 8-x?

or (2-∛x) / (8-x)?

or something else...?

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Students usually leave off parentheses to indicate numerators and denominators, so you just have to guess what they mean.  I put them
in like I assumed he meant.



Factor 8-x this way:

matrix%281%2C4%2CLet%2Cx=y%5E3%2Cthen%2C+y=root%283%2Cx%29%29



Substituting:

%22%22=%22%22%22%22=%22%22


%22%22=%22%22%22%22=%22%22


1%2F%284%2B2%2Aroot%283%2C8%29%2B%28root%283%2C8%29%29%5E2%29%22%22=%22%221%2F%284%2B2%282%29%2B2%5E2%29%22%22=%22%221%2F%284%2B4%2B4%29%22%22=%22%221%2F12

Edwin