SOLUTION: {{{ f(x)= system((x^2-1)/(x^2+x-2)=ifx<1, 3 (matrix(1,1, if x=1 )), e^(1-x) (matrix(1,1, if 1<x<3 )), 2x-c (matrix(1,1,

Algebra ->  Testmodule -> SOLUTION: {{{ f(x)= system((x^2-1)/(x^2+x-2)=ifx<1, 3 (matrix(1,1, if x=1 )), e^(1-x) (matrix(1,1, if 1<x<3 )), 2x-c (matrix(1,1,      Log On


   

Question 1036488:
a) Find the following limits, if they exist:
i. lim%28+x-%3E1+negative%2C+f%28x%29%29
ii. lim%28+x-%3E1+positive%2C+f%28x%29%29
iii. lim%28+x-%3E1%2C+f%28x%29%29
iv. lim%28+x-%3E2+negative%2C+f%28x%29%29
v. lim%28+x-%3E2%2C+f%28x%29%29
b) Is f continuous at x = 1?
c) Find the value of c which makes f continuous at x = 3.
Was having some coding issue with the negative and positive sign, sorry for the inconvenience.
Details instructions provided will be appreciated. Thankyou
Found 2 solutions by robertb, davidhk30:
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Is the third piece of the piece-wise function f(x) actually e%5E%281-x%29??

Answer by davidhk30(1) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, yes it should be e^(1-x) instead, sorry!